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Finding the Third Proportional to 19,000.41 and 40,461.19

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Solution

The third proportional to 19,000.41 and 40,461.19 is: 86,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.41 : 40,461.19 = 40,461.19 : x
  2. Step 2: Convert to fraction form
    19,000.41/40,461.19 = 40,461.19/x
  3. Step 3: Cross multiply
    19,000.41x = 40,461.19 × 40,461.19
  4. Step 4: Simplify right side
    19,000.41x = 1,637,107,693.91
  5. Step 5: Solve for x
    x = 1,637,107,693.91/19,000.41
  6. Step 6: Final answer
    x = 86,161.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.