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Finding the Third Proportional to 9,704.81 and 12,484.13

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Solution

The third proportional to 9,704.81 and 12,484.13 is: 16,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.81 : 12,484.13 = 12,484.13 : x
  2. Step 2: Convert to fraction form
    9,704.81/12,484.13 = 12,484.13/x
  3. Step 3: Cross multiply
    9,704.81x = 12,484.13 × 12,484.13
  4. Step 4: Simplify right side
    9,704.81x = 155,853,377.02
  5. Step 5: Solve for x
    x = 155,853,377.02/9,704.81
  6. Step 6: Final answer
    x = 16,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.