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Finding the Third Proportional to 5,967 and 9,437.25

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Solution

The third proportional to 5,967 and 9,437.25 is: 14,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967 : 9,437.25 = 9,437.25 : x
  2. Step 2: Convert to fraction form
    5,967/9,437.25 = 9,437.25/x
  3. Step 3: Cross multiply
    5,967x = 9,437.25 × 9,437.25
  4. Step 4: Simplify right side
    5,967x = 89,061,687.56
  5. Step 5: Solve for x
    x = 89,061,687.56/5,967
  6. Step 6: Final answer
    x = 14,925.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.