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Finding the Third Proportional to 34,932 and 75,442

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Solution

The third proportional to 34,932 and 75,442 is: 162,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932 : 75,442 = 75,442 : x
  2. Step 2: Convert to fraction form
    34,932/75,442 = 75,442/x
  3. Step 3: Cross multiply
    34,932x = 75,442 × 75,442
  4. Step 4: Simplify right side
    34,932x = 5,691,495,364
  5. Step 5: Solve for x
    x = 5,691,495,364/34,932
  6. Step 6: Final answer
    x = 162,930.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.