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Finding the Third Proportional to 39,644 and 53,998

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Solution

The third proportional to 39,644 and 53,998 is: 73,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,644 : 53,998 = 53,998 : x
  2. Step 2: Convert to fraction form
    39,644/53,998 = 53,998/x
  3. Step 3: Cross multiply
    39,644x = 53,998 × 53,998
  4. Step 4: Simplify right side
    39,644x = 2,915,784,004
  5. Step 5: Solve for x
    x = 2,915,784,004/39,644
  6. Step 6: Final answer
    x = 73,549.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.