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Finding the Third Proportional to 2,232.56 and 2,978.65

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Solution

The third proportional to 2,232.56 and 2,978.65 is: 3,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 2,978.65 = 2,978.65 : x
  2. Step 2: Convert to fraction form
    2,232.56/2,978.65 = 2,978.65/x
  3. Step 3: Cross multiply
    2,232.56x = 2,978.65 × 2,978.65
  4. Step 4: Simplify right side
    2,232.56x = 8,872,346.51
  5. Step 5: Solve for x
    x = 8,872,346.51/2,232.56
  6. Step 6: Final answer
    x = 3,974.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.