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Finding the Third Proportional to 9,816 and 15,419

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Solution

The third proportional to 9,816 and 15,419 is: 24,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816 : 15,419 = 15,419 : x
  2. Step 2: Convert to fraction form
    9,816/15,419 = 15,419/x
  3. Step 3: Cross multiply
    9,816x = 15,419 × 15,419
  4. Step 4: Simplify right side
    9,816x = 237,745,561
  5. Step 5: Solve for x
    x = 237,745,561/9,816
  6. Step 6: Final answer
    x = 24,220.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.