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Finding the Third Proportional to 9,984 and 22,304

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Solution

The third proportional to 9,984 and 22,304 is: 49,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 22,304 = 22,304 : x
  2. Step 2: Convert to fraction form
    9,984/22,304 = 22,304/x
  3. Step 3: Cross multiply
    9,984x = 22,304 × 22,304
  4. Step 4: Simplify right side
    9,984x = 497,468,416
  5. Step 5: Solve for x
    x = 497,468,416/9,984
  6. Step 6: Final answer
    x = 49,826.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.