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Finding the Third Proportional to 32,109.75 and 42,616.13

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Solution

The third proportional to 32,109.75 and 42,616.13 is: 56,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.75 : 42,616.13 = 42,616.13 : x
  2. Step 2: Convert to fraction form
    32,109.75/42,616.13 = 42,616.13/x
  3. Step 3: Cross multiply
    32,109.75x = 42,616.13 × 42,616.13
  4. Step 4: Simplify right side
    32,109.75x = 1,816,134,110.02
  5. Step 5: Solve for x
    x = 1,816,134,110.02/32,109.75
  6. Step 6: Final answer
    x = 56,560.21

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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.