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Finding the Third Proportional to 3,130.13 and 5,866.13

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Solution

The third proportional to 3,130.13 and 5,866.13 is: 10,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.13 : 5,866.13 = 5,866.13 : x
  2. Step 2: Convert to fraction form
    3,130.13/5,866.13 = 5,866.13/x
  3. Step 3: Cross multiply
    3,130.13x = 5,866.13 × 5,866.13
  4. Step 4: Simplify right side
    3,130.13x = 34,411,422.52
  5. Step 5: Solve for x
    x = 34,411,422.52/3,130.13
  6. Step 6: Final answer
    x = 10,993.63

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.