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Finding the Third Proportional to 4,552 and 6,960

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Solution

The third proportional to 4,552 and 6,960 is: 10,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552 : 6,960 = 6,960 : x
  2. Step 2: Convert to fraction form
    4,552/6,960 = 6,960/x
  3. Step 3: Cross multiply
    4,552x = 6,960 × 6,960
  4. Step 4: Simplify right side
    4,552x = 48,441,600
  5. Step 5: Solve for x
    x = 48,441,600/4,552
  6. Step 6: Final answer
    x = 10,641.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.