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Finding the Third Proportional to 2,578.13 and 4,104.38

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Solution

The third proportional to 2,578.13 and 4,104.38 is: 6,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.13 : 4,104.38 = 4,104.38 : x
  2. Step 2: Convert to fraction form
    2,578.13/4,104.38 = 4,104.38/x
  3. Step 3: Cross multiply
    2,578.13x = 4,104.38 × 4,104.38
  4. Step 4: Simplify right side
    2,578.13x = 16,845,894.14
  5. Step 5: Solve for x
    x = 16,845,894.14/2,578.13
  6. Step 6: Final answer
    x = 6,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.