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Finding the Third Proportional to 32,850.88 and 71,898.13

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Solution

The third proportional to 32,850.88 and 71,898.13 is: 157,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.88 : 71,898.13 = 71,898.13 : x
  2. Step 2: Convert to fraction form
    32,850.88/71,898.13 = 71,898.13/x
  3. Step 3: Cross multiply
    32,850.88x = 71,898.13 × 71,898.13
  4. Step 4: Simplify right side
    32,850.88x = 5,169,340,378.52
  5. Step 5: Solve for x
    x = 5,169,340,378.52/32,850.88
  6. Step 6: Final answer
    x = 157,357.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.