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Finding the Third Proportional to 41,646.66 and 59,354.81

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Solution

The third proportional to 41,646.66 and 59,354.81 is: 84,592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.66 : 59,354.81 = 59,354.81 : x
  2. Step 2: Convert to fraction form
    41,646.66/59,354.81 = 59,354.81/x
  3. Step 3: Cross multiply
    41,646.66x = 59,354.81 × 59,354.81
  4. Step 4: Simplify right side
    41,646.66x = 3,522,993,766.91
  5. Step 5: Solve for x
    x = 3,522,993,766.91/41,646.66
  6. Step 6: Final answer
    x = 84,592.48

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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.