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Finding the Third Proportional to 4,738.50 and 9,864.28

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Solution

The third proportional to 4,738.50 and 9,864.28 is: 20,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.50 : 9,864.28 = 9,864.28 : x
  2. Step 2: Convert to fraction form
    4,738.50/9,864.28 = 9,864.28/x
  3. Step 3: Cross multiply
    4,738.50x = 9,864.28 × 9,864.28
  4. Step 4: Simplify right side
    4,738.50x = 97,304,044.58
  5. Step 5: Solve for x
    x = 97,304,044.58/4,738.50
  6. Step 6: Final answer
    x = 20,534.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.