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Finding the Third Proportional to 32,053.50 and 42,545.25

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Solution

The third proportional to 32,053.50 and 42,545.25 is: 56,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.50 : 42,545.25 = 42,545.25 : x
  2. Step 2: Convert to fraction form
    32,053.50/42,545.25 = 42,545.25/x
  3. Step 3: Cross multiply
    32,053.50x = 42,545.25 × 42,545.25
  4. Step 4: Simplify right side
    32,053.50x = 1,810,098,297.56
  5. Step 5: Solve for x
    x = 1,810,098,297.56/32,053.50
  6. Step 6: Final answer
    x = 56,471.16

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.