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Finding the Third Proportional to 34,418 and 46,442

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Solution

The third proportional to 34,418 and 46,442 is: 62,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,418 : 46,442 = 46,442 : x
  2. Step 2: Convert to fraction form
    34,418/46,442 = 46,442/x
  3. Step 3: Cross multiply
    34,418x = 46,442 × 46,442
  4. Step 4: Simplify right side
    34,418x = 2,156,859,364
  5. Step 5: Solve for x
    x = 2,156,859,364/34,418
  6. Step 6: Final answer
    x = 62,666.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.