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Finding the Third Proportional to 7,748 and 9,116

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Solution

The third proportional to 7,748 and 9,116 is: 10,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 9,116 = 9,116 : x
  2. Step 2: Convert to fraction form
    7,748/9,116 = 9,116/x
  3. Step 3: Cross multiply
    7,748x = 9,116 × 9,116
  4. Step 4: Simplify right side
    7,748x = 83,101,456
  5. Step 5: Solve for x
    x = 83,101,456/7,748
  6. Step 6: Final answer
    x = 10,725.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.