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Finding the Third Proportional to 3,473.51 and 7,382.39

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Solution

The third proportional to 3,473.51 and 7,382.39 is: 15,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.51 : 7,382.39 = 7,382.39 : x
  2. Step 2: Convert to fraction form
    3,473.51/7,382.39 = 7,382.39/x
  3. Step 3: Cross multiply
    3,473.51x = 7,382.39 × 7,382.39
  4. Step 4: Simplify right side
    3,473.51x = 54,499,691.34
  5. Step 5: Solve for x
    x = 54,499,691.34/3,473.51
  6. Step 6: Final answer
    x = 15,690.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.