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Finding the Third Proportional to 25,539 and 59,347

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Solution

The third proportional to 25,539 and 59,347 is: 137,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539 : 59,347 = 59,347 : x
  2. Step 2: Convert to fraction form
    25,539/59,347 = 59,347/x
  3. Step 3: Cross multiply
    25,539x = 59,347 × 59,347
  4. Step 4: Simplify right side
    25,539x = 3,522,066,409
  5. Step 5: Solve for x
    x = 3,522,066,409/25,539
  6. Step 6: Final answer
    x = 137,909.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.