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Finding the Third Proportional to 34,414.50 and 46,437

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Solution

The third proportional to 34,414.50 and 46,437 is: 62,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.50 : 46,437 = 46,437 : x
  2. Step 2: Convert to fraction form
    34,414.50/46,437 = 46,437/x
  3. Step 3: Cross multiply
    34,414.50x = 46,437 × 46,437
  4. Step 4: Simplify right side
    34,414.50x = 2,156,394,969
  5. Step 5: Solve for x
    x = 2,156,394,969/34,414.50
  6. Step 6: Final answer
    x = 62,659.49

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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.