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Finding the Third Proportional to 51,011.50 and 71,708

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Solution

The third proportional to 51,011.50 and 71,708 is: 100,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,011.50 : 71,708 = 71,708 : x
  2. Step 2: Convert to fraction form
    51,011.50/71,708 = 71,708/x
  3. Step 3: Cross multiply
    51,011.50x = 71,708 × 71,708
  4. Step 4: Simplify right side
    51,011.50x = 5,142,037,264
  5. Step 5: Solve for x
    x = 5,142,037,264/51,011.50
  6. Step 6: Final answer
    x = 100,801.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.