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Finding the Third Proportional to 9,729.28 and 14,872.78

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Solution

The third proportional to 9,729.28 and 14,872.78 is: 22,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.28 : 14,872.78 = 14,872.78 : x
  2. Step 2: Convert to fraction form
    9,729.28/14,872.78 = 14,872.78/x
  3. Step 3: Cross multiply
    9,729.28x = 14,872.78 × 14,872.78
  4. Step 4: Simplify right side
    9,729.28x = 221,199,622.11
  5. Step 5: Solve for x
    x = 221,199,622.11/9,729.28
  6. Step 6: Final answer
    x = 22,735.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.