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Finding the Third Proportional to 30,520.31 and 47,251.78

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Solution

The third proportional to 30,520.31 and 47,251.78 is: 73,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.31 : 47,251.78 = 47,251.78 : x
  2. Step 2: Convert to fraction form
    30,520.31/47,251.78 = 47,251.78/x
  3. Step 3: Cross multiply
    30,520.31x = 47,251.78 × 47,251.78
  4. Step 4: Simplify right side
    30,520.31x = 2,232,730,831.30
  5. Step 5: Solve for x
    x = 2,232,730,831.30/30,520.31
  6. Step 6: Final answer
    x = 73,155.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.