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Finding the Third Proportional to 41,740.31 and 92,484

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Solution

The third proportional to 41,740.31 and 92,484 is: 204,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740.31 : 92,484 = 92,484 : x
  2. Step 2: Convert to fraction form
    41,740.31/92,484 = 92,484/x
  3. Step 3: Cross multiply
    41,740.31x = 92,484 × 92,484
  4. Step 4: Simplify right side
    41,740.31x = 8,553,290,256
  5. Step 5: Solve for x
    x = 8,553,290,256/41,740.31
  6. Step 6: Final answer
    x = 204,916.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.