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Finding the Third Proportional to 25,932 and 40,114

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Solution

The third proportional to 25,932 and 40,114 is: 62,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932 : 40,114 = 40,114 : x
  2. Step 2: Convert to fraction form
    25,932/40,114 = 40,114/x
  3. Step 3: Cross multiply
    25,932x = 40,114 × 40,114
  4. Step 4: Simplify right side
    25,932x = 1,609,132,996
  5. Step 5: Solve for x
    x = 1,609,132,996/25,932
  6. Step 6: Final answer
    x = 62,052.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.