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Finding the Third Proportional to 19,539 and 40,461.75

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Solution

The third proportional to 19,539 and 40,461.75 is: 83,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 40,461.75 = 40,461.75 : x
  2. Step 2: Convert to fraction form
    19,539/40,461.75 = 40,461.75/x
  3. Step 3: Cross multiply
    19,539x = 40,461.75 × 40,461.75
  4. Step 4: Simplify right side
    19,539x = 1,637,153,213.06
  5. Step 5: Solve for x
    x = 1,637,153,213.06/19,539
  6. Step 6: Final answer
    x = 83,789.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.