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Finding the Third Proportional to 41,971.61 and 59,672.64

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Solution

The third proportional to 41,971.61 and 59,672.64 is: 84,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,971.61 : 59,672.64 = 59,672.64 : x
  2. Step 2: Convert to fraction form
    41,971.61/59,672.64 = 59,672.64/x
  3. Step 3: Cross multiply
    41,971.61x = 59,672.64 × 59,672.64
  4. Step 4: Simplify right side
    41,971.61x = 3,560,823,572.97
  5. Step 5: Solve for x
    x = 3,560,823,572.97/41,971.61
  6. Step 6: Final answer
    x = 84,838.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.