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Finding the Third Proportional to 6,270.75 and 9,218.81

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Solution

The third proportional to 6,270.75 and 9,218.81 is: 13,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.75 : 9,218.81 = 9,218.81 : x
  2. Step 2: Convert to fraction form
    6,270.75/9,218.81 = 9,218.81/x
  3. Step 3: Cross multiply
    6,270.75x = 9,218.81 × 9,218.81
  4. Step 4: Simplify right side
    6,270.75x = 84,986,503.91
  5. Step 5: Solve for x
    x = 84,986,503.91/6,270.75
  6. Step 6: Final answer
    x = 13,552.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.