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Finding the Third Proportional to 7,844 and 9,518

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Solution

The third proportional to 7,844 and 9,518 is: 11,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 9,518 = 9,518 : x
  2. Step 2: Convert to fraction form
    7,844/9,518 = 9,518/x
  3. Step 3: Cross multiply
    7,844x = 9,518 × 9,518
  4. Step 4: Simplify right side
    7,844x = 90,592,324
  5. Step 5: Solve for x
    x = 90,592,324/7,844
  6. Step 6: Final answer
    x = 11,549.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.