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Finding the Third Proportional to 31,027.50 and 47,461.50

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Solution

The third proportional to 31,027.50 and 47,461.50 is: 72,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.50 : 47,461.50 = 47,461.50 : x
  2. Step 2: Convert to fraction form
    31,027.50/47,461.50 = 47,461.50/x
  3. Step 3: Cross multiply
    31,027.50x = 47,461.50 × 47,461.50
  4. Step 4: Simplify right side
    31,027.50x = 2,252,593,982.25
  5. Step 5: Solve for x
    x = 2,252,593,982.25/31,027.50
  6. Step 6: Final answer
    x = 72,599.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.