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Finding the Third Proportional to 3,407.91 and 7,437.66

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Solution

The third proportional to 3,407.91 and 7,437.66 is: 16,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.91 : 7,437.66 = 7,437.66 : x
  2. Step 2: Convert to fraction form
    3,407.91/7,437.66 = 7,437.66/x
  3. Step 3: Cross multiply
    3,407.91x = 7,437.66 × 7,437.66
  4. Step 4: Simplify right side
    3,407.91x = 55,318,730.49
  5. Step 5: Solve for x
    x = 55,318,730.49/3,407.91
  6. Step 6: Final answer
    x = 16,232.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.