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Finding the Third Proportional to 9,112 and 16,419

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Solution

The third proportional to 9,112 and 16,419 is: 29,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 16,419 = 16,419 : x
  2. Step 2: Convert to fraction form
    9,112/16,419 = 16,419/x
  3. Step 3: Cross multiply
    9,112x = 16,419 × 16,419
  4. Step 4: Simplify right side
    9,112x = 269,583,561
  5. Step 5: Solve for x
    x = 269,583,561/9,112
  6. Step 6: Final answer
    x = 29,585.55

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.