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Finding the Third Proportional to 3,810.38 and 8,146.13

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Solution

The third proportional to 3,810.38 and 8,146.13 is: 17,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.38 : 8,146.13 = 8,146.13 : x
  2. Step 2: Convert to fraction form
    3,810.38/8,146.13 = 8,146.13/x
  3. Step 3: Cross multiply
    3,810.38x = 8,146.13 × 8,146.13
  4. Step 4: Simplify right side
    3,810.38x = 66,359,352.52
  5. Step 5: Solve for x
    x = 66,359,352.52/3,810.38
  6. Step 6: Final answer
    x = 17,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.