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Finding the Third Proportional to 34,962 and 74,730

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Solution

The third proportional to 34,962 and 74,730 is: 159,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962 : 74,730 = 74,730 : x
  2. Step 2: Convert to fraction form
    34,962/74,730 = 74,730/x
  3. Step 3: Cross multiply
    34,962x = 74,730 × 74,730
  4. Step 4: Simplify right side
    34,962x = 5,584,572,900
  5. Step 5: Solve for x
    x = 5,584,572,900/34,962
  6. Step 6: Final answer
    x = 159,732.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.