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Finding the Third Proportional to 10,166.13 and 11,578.57

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Solution

The third proportional to 10,166.13 and 11,578.57 is: 13,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.13 : 11,578.57 = 11,578.57 : x
  2. Step 2: Convert to fraction form
    10,166.13/11,578.57 = 11,578.57/x
  3. Step 3: Cross multiply
    10,166.13x = 11,578.57 × 11,578.57
  4. Step 4: Simplify right side
    10,166.13x = 134,063,290.48
  5. Step 5: Solve for x
    x = 134,063,290.48/10,166.13
  6. Step 6: Final answer
    x = 13,187.25

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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.