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Finding the Third Proportional to 4,115 and 5,560

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Solution

The third proportional to 4,115 and 5,560 is: 7,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115 : 5,560 = 5,560 : x
  2. Step 2: Convert to fraction form
    4,115/5,560 = 5,560/x
  3. Step 3: Cross multiply
    4,115x = 5,560 × 5,560
  4. Step 4: Simplify right side
    4,115x = 30,913,600
  5. Step 5: Solve for x
    x = 30,913,600/4,115
  6. Step 6: Final answer
    x = 7,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.