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Finding the Third Proportional to 5,876 and 9,106

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Solution

The third proportional to 5,876 and 9,106 is: 14,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876 : 9,106 = 9,106 : x
  2. Step 2: Convert to fraction form
    5,876/9,106 = 9,106/x
  3. Step 3: Cross multiply
    5,876x = 9,106 × 9,106
  4. Step 4: Simplify right side
    5,876x = 82,919,236
  5. Step 5: Solve for x
    x = 82,919,236/5,876
  6. Step 6: Final answer
    x = 14,111.51

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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.