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Finding the Third Proportional to 31,702.50 and 47,454.75

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Solution

The third proportional to 31,702.50 and 47,454.75 is: 71,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.50 : 47,454.75 = 47,454.75 : x
  2. Step 2: Convert to fraction form
    31,702.50/47,454.75 = 47,454.75/x
  3. Step 3: Cross multiply
    31,702.50x = 47,454.75 × 47,454.75
  4. Step 4: Simplify right side
    31,702.50x = 2,251,953,297.56
  5. Step 5: Solve for x
    x = 2,251,953,297.56/31,702.50
  6. Step 6: Final answer
    x = 71,033.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.