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Finding the Third Proportional to 9,419 and 12,499

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Solution

The third proportional to 9,419 and 12,499 is: 16,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 12,499 = 12,499 : x
  2. Step 2: Convert to fraction form
    9,419/12,499 = 12,499/x
  3. Step 3: Cross multiply
    9,419x = 12,499 × 12,499
  4. Step 4: Simplify right side
    9,419x = 156,225,001
  5. Step 5: Solve for x
    x = 156,225,001/9,419
  6. Step 6: Final answer
    x = 16,586.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.