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Finding the Third Proportional to 9,986 and 15,110

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Solution

The third proportional to 9,986 and 15,110 is: 22,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 15,110 = 15,110 : x
  2. Step 2: Convert to fraction form
    9,986/15,110 = 15,110/x
  3. Step 3: Cross multiply
    9,986x = 15,110 × 15,110
  4. Step 4: Simplify right side
    9,986x = 228,312,100
  5. Step 5: Solve for x
    x = 228,312,100/9,986
  6. Step 6: Final answer
    x = 22,863.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.