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Finding the Third Proportional to 32,437.50 and 71,022

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Solution

The third proportional to 32,437.50 and 71,022 is: 155,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,437.50 : 71,022 = 71,022 : x
  2. Step 2: Convert to fraction form
    32,437.50/71,022 = 71,022/x
  3. Step 3: Cross multiply
    32,437.50x = 71,022 × 71,022
  4. Step 4: Simplify right side
    32,437.50x = 5,044,124,484
  5. Step 5: Solve for x
    x = 5,044,124,484/32,437.50
  6. Step 6: Final answer
    x = 155,502.87

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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.