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Finding the Third Proportional to 2,288 and 4,960

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Solution

The third proportional to 2,288 and 4,960 is: 10,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288 : 4,960 = 4,960 : x
  2. Step 2: Convert to fraction form
    2,288/4,960 = 4,960/x
  3. Step 3: Cross multiply
    2,288x = 4,960 × 4,960
  4. Step 4: Simplify right side
    2,288x = 24,601,600
  5. Step 5: Solve for x
    x = 24,601,600/2,288
  6. Step 6: Final answer
    x = 10,752.45

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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.