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Finding the Third Proportional to 25,602 and 34,731

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Solution

The third proportional to 25,602 and 34,731 is: 47,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 34,731 = 34,731 : x
  2. Step 2: Convert to fraction form
    25,602/34,731 = 34,731/x
  3. Step 3: Cross multiply
    25,602x = 34,731 × 34,731
  4. Step 4: Simplify right side
    25,602x = 1,206,242,361
  5. Step 5: Solve for x
    x = 1,206,242,361/25,602
  6. Step 6: Final answer
    x = 47,115.16

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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.