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Finding the Third Proportional to 5,725 and 12,515

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Solution

The third proportional to 5,725 and 12,515 is: 27,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 12,515 = 12,515 : x
  2. Step 2: Convert to fraction form
    5,725/12,515 = 12,515/x
  3. Step 3: Cross multiply
    5,725x = 12,515 × 12,515
  4. Step 4: Simplify right side
    5,725x = 156,625,225
  5. Step 5: Solve for x
    x = 156,625,225/5,725
  6. Step 6: Final answer
    x = 27,358.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.