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Finding the Third Proportional to 3,437.86 and 7,491.66

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Solution

The third proportional to 3,437.86 and 7,491.66 is: 16,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.86 : 7,491.66 = 7,491.66 : x
  2. Step 2: Convert to fraction form
    3,437.86/7,491.66 = 7,491.66/x
  3. Step 3: Cross multiply
    3,437.86x = 7,491.66 × 7,491.66
  4. Step 4: Simplify right side
    3,437.86x = 56,124,913.37
  5. Step 5: Solve for x
    x = 56,124,913.37/3,437.86
  6. Step 6: Final answer
    x = 16,325.54

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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.