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Finding the Third Proportional to 7,810 and 8,917

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Solution

The third proportional to 7,810 and 8,917 is: 10,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 8,917 = 8,917 : x
  2. Step 2: Convert to fraction form
    7,810/8,917 = 8,917/x
  3. Step 3: Cross multiply
    7,810x = 8,917 × 8,917
  4. Step 4: Simplify right side
    7,810x = 79,512,889
  5. Step 5: Solve for x
    x = 79,512,889/7,810
  6. Step 6: Final answer
    x = 10,180.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.