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Finding the Third Proportional to 5,894 and 12,815

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Solution

The third proportional to 5,894 and 12,815 is: 27,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894 : 12,815 = 12,815 : x
  2. Step 2: Convert to fraction form
    5,894/12,815 = 12,815/x
  3. Step 3: Cross multiply
    5,894x = 12,815 × 12,815
  4. Step 4: Simplify right side
    5,894x = 164,224,225
  5. Step 5: Solve for x
    x = 164,224,225/5,894
  6. Step 6: Final answer
    x = 27,862.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.