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Finding the Third Proportional to 1,437.75 and 2,967.38

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Solution

The third proportional to 1,437.75 and 2,967.38 is: 6,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.75 : 2,967.38 = 2,967.38 : x
  2. Step 2: Convert to fraction form
    1,437.75/2,967.38 = 2,967.38/x
  3. Step 3: Cross multiply
    1,437.75x = 2,967.38 × 2,967.38
  4. Step 4: Simplify right side
    1,437.75x = 8,805,314.39
  5. Step 5: Solve for x
    x = 8,805,314.39/1,437.75
  6. Step 6: Final answer
    x = 6,124.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.