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Finding the Third Proportional to 32,729.06 and 69,346.13

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Solution

The third proportional to 32,729.06 and 69,346.13 is: 146,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.06 : 69,346.13 = 69,346.13 : x
  2. Step 2: Convert to fraction form
    32,729.06/69,346.13 = 69,346.13/x
  3. Step 3: Cross multiply
    32,729.06x = 69,346.13 × 69,346.13
  4. Step 4: Simplify right side
    32,729.06x = 4,808,885,052.52
  5. Step 5: Solve for x
    x = 4,808,885,052.52/32,729.06
  6. Step 6: Final answer
    x = 146,930.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.