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Finding the Third Proportional to 3,565.31 and 5,232.56

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Solution

The third proportional to 3,565.31 and 5,232.56 is: 7,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.31 : 5,232.56 = 5,232.56 : x
  2. Step 2: Convert to fraction form
    3,565.31/5,232.56 = 5,232.56/x
  3. Step 3: Cross multiply
    3,565.31x = 5,232.56 × 5,232.56
  4. Step 4: Simplify right side
    3,565.31x = 27,379,710.32
  5. Step 5: Solve for x
    x = 27,379,710.32/3,565.31
  6. Step 6: Final answer
    x = 7,679.47

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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.