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Finding the Third Proportional to 32,729 and 70,687

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Solution

The third proportional to 32,729 and 70,687 is: 152,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729 : 70,687 = 70,687 : x
  2. Step 2: Convert to fraction form
    32,729/70,687 = 70,687/x
  3. Step 3: Cross multiply
    32,729x = 70,687 × 70,687
  4. Step 4: Simplify right side
    32,729x = 4,996,651,969
  5. Step 5: Solve for x
    x = 4,996,651,969/32,729
  6. Step 6: Final answer
    x = 152,667.42

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