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Finding the Third Proportional to 3,574.13 and 6,097.78

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Solution

The third proportional to 3,574.13 and 6,097.78 is: 10,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.13 : 6,097.78 = 6,097.78 : x
  2. Step 2: Convert to fraction form
    3,574.13/6,097.78 = 6,097.78/x
  3. Step 3: Cross multiply
    3,574.13x = 6,097.78 × 6,097.78
  4. Step 4: Simplify right side
    3,574.13x = 37,182,936.17
  5. Step 5: Solve for x
    x = 37,182,936.17/3,574.13
  6. Step 6: Final answer
    x = 10,403.37

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.