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Finding the Third Proportional to 12,129.75 and 19,288.13

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Solution

The third proportional to 12,129.75 and 19,288.13 is: 30,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 19,288.13 = 19,288.13 : x
  2. Step 2: Convert to fraction form
    12,129.75/19,288.13 = 19,288.13/x
  3. Step 3: Cross multiply
    12,129.75x = 19,288.13 × 19,288.13
  4. Step 4: Simplify right side
    12,129.75x = 372,031,766.02
  5. Step 5: Solve for x
    x = 372,031,766.02/12,129.75
  6. Step 6: Final answer
    x = 30,671.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.