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Finding the Third Proportional to 47,778.75 and 66,826.13

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Solution

The third proportional to 47,778.75 and 66,826.13 is: 93,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,778.75 : 66,826.13 = 66,826.13 : x
  2. Step 2: Convert to fraction form
    47,778.75/66,826.13 = 66,826.13/x
  3. Step 3: Cross multiply
    47,778.75x = 66,826.13 × 66,826.13
  4. Step 4: Simplify right side
    47,778.75x = 4,465,730,982.52
  5. Step 5: Solve for x
    x = 4,465,730,982.52/47,778.75
  6. Step 6: Final answer
    x = 93,466.89

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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.