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Finding the Third Proportional to 4,266.52 and 6,237.38

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Solution

The third proportional to 4,266.52 and 6,237.38 is: 9,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.52 : 6,237.38 = 6,237.38 : x
  2. Step 2: Convert to fraction form
    4,266.52/6,237.38 = 6,237.38/x
  3. Step 3: Cross multiply
    4,266.52x = 6,237.38 × 6,237.38
  4. Step 4: Simplify right side
    4,266.52x = 38,904,846.89
  5. Step 5: Solve for x
    x = 38,904,846.89/4,266.52
  6. Step 6: Final answer
    x = 9,118.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.