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Finding the Third Proportional to 25,732 and 40,902

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Solution

The third proportional to 25,732 and 40,902 is: 65,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732 : 40,902 = 40,902 : x
  2. Step 2: Convert to fraction form
    25,732/40,902 = 40,902/x
  3. Step 3: Cross multiply
    25,732x = 40,902 × 40,902
  4. Step 4: Simplify right side
    25,732x = 1,672,973,604
  5. Step 5: Solve for x
    x = 1,672,973,604/25,732
  6. Step 6: Final answer
    x = 65,015.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.