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Finding the Third Proportional to 2,353 and 2,560

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Solution

The third proportional to 2,353 and 2,560 is: 2,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353 : 2,560 = 2,560 : x
  2. Step 2: Convert to fraction form
    2,353/2,560 = 2,560/x
  3. Step 3: Cross multiply
    2,353x = 2,560 × 2,560
  4. Step 4: Simplify right side
    2,353x = 6,553,600
  5. Step 5: Solve for x
    x = 6,553,600/2,353
  6. Step 6: Final answer
    x = 2,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.