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Finding the Third Proportional to 32,747.63 and 70,716.38

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Solution

The third proportional to 32,747.63 and 70,716.38 is: 152,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.63 : 70,716.38 = 70,716.38 : x
  2. Step 2: Convert to fraction form
    32,747.63/70,716.38 = 70,716.38/x
  3. Step 3: Cross multiply
    32,747.63x = 70,716.38 × 70,716.38
  4. Step 4: Simplify right side
    32,747.63x = 5,000,805,693.14
  5. Step 5: Solve for x
    x = 5,000,805,693.14/32,747.63
  6. Step 6: Final answer
    x = 152,707.43

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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.