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Finding the Third Proportional to 1,400 and 2,564

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Solution

The third proportional to 1,400 and 2,564 is: 4,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400 : 2,564 = 2,564 : x
  2. Step 2: Convert to fraction form
    1,400/2,564 = 2,564/x
  3. Step 3: Cross multiply
    1,400x = 2,564 × 2,564
  4. Step 4: Simplify right side
    1,400x = 6,574,096
  5. Step 5: Solve for x
    x = 6,574,096/1,400
  6. Step 6: Final answer
    x = 4,695.78

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.