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Finding the Third Proportional to 31,240.69 and 48,258.28

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Solution

The third proportional to 31,240.69 and 48,258.28 is: 74,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.69 : 48,258.28 = 48,258.28 : x
  2. Step 2: Convert to fraction form
    31,240.69/48,258.28 = 48,258.28/x
  3. Step 3: Cross multiply
    31,240.69x = 48,258.28 × 48,258.28
  4. Step 4: Simplify right side
    31,240.69x = 2,328,861,709.20
  5. Step 5: Solve for x
    x = 2,328,861,709.20/31,240.69
  6. Step 6: Final answer
    x = 74,545.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.