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Finding the Third Proportional to 9,419 and 14,593

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Solution

The third proportional to 9,419 and 14,593 is: 22,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 14,593 = 14,593 : x
  2. Step 2: Convert to fraction form
    9,419/14,593 = 14,593/x
  3. Step 3: Cross multiply
    9,419x = 14,593 × 14,593
  4. Step 4: Simplify right side
    9,419x = 212,955,649
  5. Step 5: Solve for x
    x = 212,955,649/9,419
  6. Step 6: Final answer
    x = 22,609.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.