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Finding the Third Proportional to 4,432.78 and 6,741.28

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Solution

The third proportional to 4,432.78 and 6,741.28 is: 10,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.78 : 6,741.28 = 6,741.28 : x
  2. Step 2: Convert to fraction form
    4,432.78/6,741.28 = 6,741.28/x
  3. Step 3: Cross multiply
    4,432.78x = 6,741.28 × 6,741.28
  4. Step 4: Simplify right side
    4,432.78x = 45,444,872.89
  5. Step 5: Solve for x
    x = 45,444,872.89/4,432.78
  6. Step 6: Final answer
    x = 10,252.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.