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Finding the Third Proportional to 3,502.41 and 7,407.28

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Solution

The third proportional to 3,502.41 and 7,407.28 is: 15,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.41 : 7,407.28 = 7,407.28 : x
  2. Step 2: Convert to fraction form
    3,502.41/7,407.28 = 7,407.28/x
  3. Step 3: Cross multiply
    3,502.41x = 7,407.28 × 7,407.28
  4. Step 4: Simplify right side
    3,502.41x = 54,867,815.52
  5. Step 5: Solve for x
    x = 54,867,815.52/3,502.41
  6. Step 6: Final answer
    x = 15,665.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.