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Finding the Third Proportional to 41,659.31 and 59,530.78

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Solution

The third proportional to 41,659.31 and 59,530.78 is: 85,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659.31 : 59,530.78 = 59,530.78 : x
  2. Step 2: Convert to fraction form
    41,659.31/59,530.78 = 59,530.78/x
  3. Step 3: Cross multiply
    41,659.31x = 59,530.78 × 59,530.78
  4. Step 4: Simplify right side
    41,659.31x = 3,543,913,916.24
  5. Step 5: Solve for x
    x = 3,543,913,916.24/41,659.31
  6. Step 6: Final answer
    x = 85,068.95

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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.