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Finding the Third Proportional to 29,585 and 63,909

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Solution

The third proportional to 29,585 and 63,909 is: 138,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585 : 63,909 = 63,909 : x
  2. Step 2: Convert to fraction form
    29,585/63,909 = 63,909/x
  3. Step 3: Cross multiply
    29,585x = 63,909 × 63,909
  4. Step 4: Simplify right side
    29,585x = 4,084,360,281
  5. Step 5: Solve for x
    x = 4,084,360,281/29,585
  6. Step 6: Final answer
    x = 138,055.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.