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Finding the Third Proportional to 8,257 and 17,810

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Solution

The third proportional to 8,257 and 17,810 is: 38,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 17,810 = 17,810 : x
  2. Step 2: Convert to fraction form
    8,257/17,810 = 17,810/x
  3. Step 3: Cross multiply
    8,257x = 17,810 × 17,810
  4. Step 4: Simplify right side
    8,257x = 317,196,100
  5. Step 5: Solve for x
    x = 317,196,100/8,257
  6. Step 6: Final answer
    x = 38,415.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.