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Finding the Third Proportional to 5,463.70 and 8,437.61

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Solution

The third proportional to 5,463.70 and 8,437.61 is: 13,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.70 : 8,437.61 = 8,437.61 : x
  2. Step 2: Convert to fraction form
    5,463.70/8,437.61 = 8,437.61/x
  3. Step 3: Cross multiply
    5,463.70x = 8,437.61 × 8,437.61
  4. Step 4: Simplify right side
    5,463.70x = 71,193,186.05
  5. Step 5: Solve for x
    x = 71,193,186.05/5,463.70
  6. Step 6: Final answer
    x = 13,030.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.