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Finding the Third Proportional to 5,894 and 9,115

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Solution

The third proportional to 5,894 and 9,115 is: 14,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894 : 9,115 = 9,115 : x
  2. Step 2: Convert to fraction form
    5,894/9,115 = 9,115/x
  3. Step 3: Cross multiply
    5,894x = 9,115 × 9,115
  4. Step 4: Simplify right side
    5,894x = 83,083,225
  5. Step 5: Solve for x
    x = 83,083,225/5,894
  6. Step 6: Final answer
    x = 14,096.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.