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Finding the Third Proportional to 31,852.50 and 47,769

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Solution

The third proportional to 31,852.50 and 47,769 is: 71,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.50 : 47,769 = 47,769 : x
  2. Step 2: Convert to fraction form
    31,852.50/47,769 = 47,769/x
  3. Step 3: Cross multiply
    31,852.50x = 47,769 × 47,769
  4. Step 4: Simplify right side
    31,852.50x = 2,281,877,361
  5. Step 5: Solve for x
    x = 2,281,877,361/31,852.50
  6. Step 6: Final answer
    x = 71,638.88

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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.