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Finding the Third Proportional to 4,357.41 and 9,432.56

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Solution

The third proportional to 4,357.41 and 9,432.56 is: 20,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.41 : 9,432.56 = 9,432.56 : x
  2. Step 2: Convert to fraction form
    4,357.41/9,432.56 = 9,432.56/x
  3. Step 3: Cross multiply
    4,357.41x = 9,432.56 × 9,432.56
  4. Step 4: Simplify right side
    4,357.41x = 88,973,235.32
  5. Step 5: Solve for x
    x = 88,973,235.32/4,357.41
  6. Step 6: Final answer
    x = 20,418.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.