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Finding the Third Proportional to 8,434.13 and 9,228.94

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Solution

The third proportional to 8,434.13 and 9,228.94 is: 10,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.13 : 9,228.94 = 9,228.94 : x
  2. Step 2: Convert to fraction form
    8,434.13/9,228.94 = 9,228.94/x
  3. Step 3: Cross multiply
    8,434.13x = 9,228.94 × 9,228.94
  4. Step 4: Simplify right side
    8,434.13x = 85,173,287.38
  5. Step 5: Solve for x
    x = 85,173,287.38/8,434.13
  6. Step 6: Final answer
    x = 10,098.65

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.