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Finding the Third Proportional to 25,712 and 54,704

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Solution

The third proportional to 25,712 and 54,704 is: 116,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 54,704 = 54,704 : x
  2. Step 2: Convert to fraction form
    25,712/54,704 = 54,704/x
  3. Step 3: Cross multiply
    25,712x = 54,704 × 54,704
  4. Step 4: Simplify right side
    25,712x = 2,992,527,616
  5. Step 5: Solve for x
    x = 2,992,527,616/25,712
  6. Step 6: Final answer
    x = 116,386.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.