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Finding the Third Proportional to 41,646.50 and 59,355

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Solution

The third proportional to 41,646.50 and 59,355 is: 84,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.50 : 59,355 = 59,355 : x
  2. Step 2: Convert to fraction form
    41,646.50/59,355 = 59,355/x
  3. Step 3: Cross multiply
    41,646.50x = 59,355 × 59,355
  4. Step 4: Simplify right side
    41,646.50x = 3,523,016,025
  5. Step 5: Solve for x
    x = 3,523,016,025/41,646.50
  6. Step 6: Final answer
    x = 84,593.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.