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Finding the Third Proportional to 47,522.13 and 66,439.13

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Solution

The third proportional to 47,522.13 and 66,439.13 is: 92,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,522.13 : 66,439.13 = 66,439.13 : x
  2. Step 2: Convert to fraction form
    47,522.13/66,439.13 = 66,439.13/x
  3. Step 3: Cross multiply
    47,522.13x = 66,439.13 × 66,439.13
  4. Step 4: Simplify right side
    47,522.13x = 4,414,157,330.77
  5. Step 5: Solve for x
    x = 4,414,157,330.77/47,522.13
  6. Step 6: Final answer
    x = 92,886.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.