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Finding the Third Proportional to 5,280.56 and 11,432.44

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Solution

The third proportional to 5,280.56 and 11,432.44 is: 24,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.56 : 11,432.44 = 11,432.44 : x
  2. Step 2: Convert to fraction form
    5,280.56/11,432.44 = 11,432.44/x
  3. Step 3: Cross multiply
    5,280.56x = 11,432.44 × 11,432.44
  4. Step 4: Simplify right side
    5,280.56x = 130,700,627.19
  5. Step 5: Solve for x
    x = 130,700,627.19/5,280.56
  6. Step 6: Final answer
    x = 24,751.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.