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Finding the Third Proportional to 5,497.50 and 12,765

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Solution

The third proportional to 5,497.50 and 12,765 is: 29,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.50 : 12,765 = 12,765 : x
  2. Step 2: Convert to fraction form
    5,497.50/12,765 = 12,765/x
  3. Step 3: Cross multiply
    5,497.50x = 12,765 × 12,765
  4. Step 4: Simplify right side
    5,497.50x = 162,945,225
  5. Step 5: Solve for x
    x = 162,945,225/5,497.50
  6. Step 6: Final answer
    x = 29,639.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.