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Finding the Third Proportional to 8,210 and 17,230

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Solution

The third proportional to 8,210 and 17,230 is: 36,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210 : 17,230 = 17,230 : x
  2. Step 2: Convert to fraction form
    8,210/17,230 = 17,230/x
  3. Step 3: Cross multiply
    8,210x = 17,230 × 17,230
  4. Step 4: Simplify right side
    8,210x = 296,872,900
  5. Step 5: Solve for x
    x = 296,872,900/8,210
  6. Step 6: Final answer
    x = 36,159.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.