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Finding the Third Proportional to 8,101.50 and 12,729

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Solution

The third proportional to 8,101.50 and 12,729 is: 19,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.50 : 12,729 = 12,729 : x
  2. Step 2: Convert to fraction form
    8,101.50/12,729 = 12,729/x
  3. Step 3: Cross multiply
    8,101.50x = 12,729 × 12,729
  4. Step 4: Simplify right side
    8,101.50x = 162,027,441
  5. Step 5: Solve for x
    x = 162,027,441/8,101.50
  6. Step 6: Final answer
    x = 19,999.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.