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Finding the Third Proportional to 15,132 and 24,036

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Solution

The third proportional to 15,132 and 24,036 is: 38,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132 : 24,036 = 24,036 : x
  2. Step 2: Convert to fraction form
    15,132/24,036 = 24,036/x
  3. Step 3: Cross multiply
    15,132x = 24,036 × 24,036
  4. Step 4: Simplify right side
    15,132x = 577,729,296
  5. Step 5: Solve for x
    x = 577,729,296/15,132
  6. Step 6: Final answer
    x = 38,179.31

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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.