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Finding the Third Proportional to 31,167.28 and 47,124.28

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Solution

The third proportional to 31,167.28 and 47,124.28 is: 71,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.28 : 47,124.28 = 47,124.28 : x
  2. Step 2: Convert to fraction form
    31,167.28/47,124.28 = 47,124.28/x
  3. Step 3: Cross multiply
    31,167.28x = 47,124.28 × 47,124.28
  4. Step 4: Simplify right side
    31,167.28x = 2,220,697,883.33
  5. Step 5: Solve for x
    x = 2,220,697,883.33/31,167.28
  6. Step 6: Final answer
    x = 71,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.