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Finding the Third Proportional to 47,423.81 and 63,433.97

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Solution

The third proportional to 47,423.81 and 63,433.97 is: 84,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,423.81 : 63,433.97 = 63,433.97 : x
  2. Step 2: Convert to fraction form
    47,423.81/63,433.97 = 63,433.97/x
  3. Step 3: Cross multiply
    47,423.81x = 63,433.97 × 63,433.97
  4. Step 4: Simplify right side
    47,423.81x = 4,023,868,391.38
  5. Step 5: Solve for x
    x = 4,023,868,391.38/47,423.81
  6. Step 6: Final answer
    x = 84,849.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.