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Finding the Third Proportional to 8,214 and 17,130

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Solution

The third proportional to 8,214 and 17,130 is: 35,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214 : 17,130 = 17,130 : x
  2. Step 2: Convert to fraction form
    8,214/17,130 = 17,130/x
  3. Step 3: Cross multiply
    8,214x = 17,130 × 17,130
  4. Step 4: Simplify right side
    8,214x = 293,436,900
  5. Step 5: Solve for x
    x = 293,436,900/8,214
  6. Step 6: Final answer
    x = 35,724.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.