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Finding the Third Proportional to 7,288 and 13,657

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Solution

The third proportional to 7,288 and 13,657 is: 25,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288 : 13,657 = 13,657 : x
  2. Step 2: Convert to fraction form
    7,288/13,657 = 13,657/x
  3. Step 3: Cross multiply
    7,288x = 13,657 × 13,657
  4. Step 4: Simplify right side
    7,288x = 186,513,649
  5. Step 5: Solve for x
    x = 186,513,649/7,288
  6. Step 6: Final answer
    x = 25,591.88

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.