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Finding the Third Proportional to 9,208 and 10,216

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Solution

The third proportional to 9,208 and 10,216 is: 11,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 10,216 = 10,216 : x
  2. Step 2: Convert to fraction form
    9,208/10,216 = 10,216/x
  3. Step 3: Cross multiply
    9,208x = 10,216 × 10,216
  4. Step 4: Simplify right side
    9,208x = 104,366,656
  5. Step 5: Solve for x
    x = 104,366,656/9,208
  6. Step 6: Final answer
    x = 11,334.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.