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Finding the Third Proportional to 534.13 and 1,159.38

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Solution

The third proportional to 534.13 and 1,159.38 is: 2,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 1,159.38 = 1,159.38 : x
  2. Step 2: Convert to fraction form
    534.13/1,159.38 = 1,159.38/x
  3. Step 3: Cross multiply
    534.13x = 1,159.38 × 1,159.38
  4. Step 4: Simplify right side
    534.13x = 1,344,150.39
  5. Step 5: Solve for x
    x = 1,344,150.39/534.13
  6. Step 6: Final answer
    x = 2,516.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.