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Finding the Third Proportional to 7,546 and 9,922

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Solution

The third proportional to 7,546 and 9,922 is: 13,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546 : 9,922 = 9,922 : x
  2. Step 2: Convert to fraction form
    7,546/9,922 = 9,922/x
  3. Step 3: Cross multiply
    7,546x = 9,922 × 9,922
  4. Step 4: Simplify right side
    7,546x = 98,446,084
  5. Step 5: Solve for x
    x = 98,446,084/7,546
  6. Step 6: Final answer
    x = 13,046.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.