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Finding the Third Proportional to 1,516.13 and 3,126.75

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Solution

The third proportional to 1,516.13 and 3,126.75 is: 6,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.13 : 3,126.75 = 3,126.75 : x
  2. Step 2: Convert to fraction form
    1,516.13/3,126.75 = 3,126.75/x
  3. Step 3: Cross multiply
    1,516.13x = 3,126.75 × 3,126.75
  4. Step 4: Simplify right side
    1,516.13x = 9,776,565.56
  5. Step 5: Solve for x
    x = 9,776,565.56/1,516.13
  6. Step 6: Final answer
    x = 6,448.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.