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Finding the Third Proportional to 7,100 and 8,216

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Solution

The third proportional to 7,100 and 8,216 is: 9,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100 : 8,216 = 8,216 : x
  2. Step 2: Convert to fraction form
    7,100/8,216 = 8,216/x
  3. Step 3: Cross multiply
    7,100x = 8,216 × 8,216
  4. Step 4: Simplify right side
    7,100x = 67,502,656
  5. Step 5: Solve for x
    x = 67,502,656/7,100
  6. Step 6: Final answer
    x = 9,507.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.