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Finding the Third Proportional to 32,151.94 and 70,614.28

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Solution

The third proportional to 32,151.94 and 70,614.28 is: 155,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.94 : 70,614.28 = 70,614.28 : x
  2. Step 2: Convert to fraction form
    32,151.94/70,614.28 = 70,614.28/x
  3. Step 3: Cross multiply
    32,151.94x = 70,614.28 × 70,614.28
  4. Step 4: Simplify right side
    32,151.94x = 4,986,376,716.45
  5. Step 5: Solve for x
    x = 4,986,376,716.45/32,151.94
  6. Step 6: Final answer
    x = 155,087.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.