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Finding the Third Proportional to 516.09 and 1,248.47

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Solution

The third proportional to 516.09 and 1,248.47 is: 3,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 1,248.47 = 1,248.47 : x
  2. Step 2: Convert to fraction form
    516.09/1,248.47 = 1,248.47/x
  3. Step 3: Cross multiply
    516.09x = 1,248.47 × 1,248.47
  4. Step 4: Simplify right side
    516.09x = 1,558,674.22
  5. Step 5: Solve for x
    x = 1,558,674.22/516.09
  6. Step 6: Final answer
    x = 3,020.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.