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Finding the Third Proportional to 10,614 and 15,593

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Solution

The third proportional to 10,614 and 15,593 is: 22,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 15,593 = 15,593 : x
  2. Step 2: Convert to fraction form
    10,614/15,593 = 15,593/x
  3. Step 3: Cross multiply
    10,614x = 15,593 × 15,593
  4. Step 4: Simplify right side
    10,614x = 243,141,649
  5. Step 5: Solve for x
    x = 243,141,649/10,614
  6. Step 6: Final answer
    x = 22,907.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.