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Finding the Third Proportional to 15,000 and 21,924

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Solution

The third proportional to 15,000 and 21,924 is: 32,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000 : 21,924 = 21,924 : x
  2. Step 2: Convert to fraction form
    15,000/21,924 = 21,924/x
  3. Step 3: Cross multiply
    15,000x = 21,924 × 21,924
  4. Step 4: Simplify right side
    15,000x = 480,661,776
  5. Step 5: Solve for x
    x = 480,661,776/15,000
  6. Step 6: Final answer
    x = 32,044.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.