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Finding the Third Proportional to 19,148.88 and 40,505.75

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Solution

The third proportional to 19,148.88 and 40,505.75 is: 85,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,148.88 : 40,505.75 = 40,505.75 : x
  2. Step 2: Convert to fraction form
    19,148.88/40,505.75 = 40,505.75/x
  3. Step 3: Cross multiply
    19,148.88x = 40,505.75 × 40,505.75
  4. Step 4: Simplify right side
    19,148.88x = 1,640,715,783.06
  5. Step 5: Solve for x
    x = 1,640,715,783.06/19,148.88
  6. Step 6: Final answer
    x = 85,682.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.