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Finding the Third Proportional to 8,704.13 and 9,919.13

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Solution

The third proportional to 8,704.13 and 9,919.13 is: 11,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.13 : 9,919.13 = 9,919.13 : x
  2. Step 2: Convert to fraction form
    8,704.13/9,919.13 = 9,919.13/x
  3. Step 3: Cross multiply
    8,704.13x = 9,919.13 × 9,919.13
  4. Step 4: Simplify right side
    8,704.13x = 98,389,040.77
  5. Step 5: Solve for x
    x = 98,389,040.77/8,704.13
  6. Step 6: Final answer
    x = 11,303.73

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.