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Finding the Third Proportional to 32,906.38 and 71,066.38

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Solution

The third proportional to 32,906.38 and 71,066.38 is: 153,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.38 : 71,066.38 = 71,066.38 : x
  2. Step 2: Convert to fraction form
    32,906.38/71,066.38 = 71,066.38/x
  3. Step 3: Cross multiply
    32,906.38x = 71,066.38 × 71,066.38
  4. Step 4: Simplify right side
    32,906.38x = 5,050,429,655.64
  5. Step 5: Solve for x
    x = 5,050,429,655.64/32,906.38
  6. Step 6: Final answer
    x = 153,478.76

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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.