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Finding the Third Proportional to 8,605.13 and 9,415.13

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Solution

The third proportional to 8,605.13 and 9,415.13 is: 10,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.13 : 9,415.13 = 9,415.13 : x
  2. Step 2: Convert to fraction form
    8,605.13/9,415.13 = 9,415.13/x
  3. Step 3: Cross multiply
    8,605.13x = 9,415.13 × 9,415.13
  4. Step 4: Simplify right side
    8,605.13x = 88,644,578.77
  5. Step 5: Solve for x
    x = 88,644,578.77/8,605.13
  6. Step 6: Final answer
    x = 10,301.37

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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.