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Finding the Third Proportional to 15,050 and 21,387

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Solution

The third proportional to 15,050 and 21,387 is: 30,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050 : 21,387 = 21,387 : x
  2. Step 2: Convert to fraction form
    15,050/21,387 = 21,387/x
  3. Step 3: Cross multiply
    15,050x = 21,387 × 21,387
  4. Step 4: Simplify right side
    15,050x = 457,403,769
  5. Step 5: Solve for x
    x = 457,403,769/15,050
  6. Step 6: Final answer
    x = 30,392.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.