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Finding the Third Proportional to 7,414 and 9,986

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Solution

The third proportional to 7,414 and 9,986 is: 13,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 9,986 = 9,986 : x
  2. Step 2: Convert to fraction form
    7,414/9,986 = 9,986/x
  3. Step 3: Cross multiply
    7,414x = 9,986 × 9,986
  4. Step 4: Simplify right side
    7,414x = 99,720,196
  5. Step 5: Solve for x
    x = 99,720,196/7,414
  6. Step 6: Final answer
    x = 13,450.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.