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Finding the Third Proportional to 17,712 and 38,216

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Solution

The third proportional to 17,712 and 38,216 is: 82,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 38,216 = 38,216 : x
  2. Step 2: Convert to fraction form
    17,712/38,216 = 38,216/x
  3. Step 3: Cross multiply
    17,712x = 38,216 × 38,216
  4. Step 4: Simplify right side
    17,712x = 1,460,462,656
  5. Step 5: Solve for x
    x = 1,460,462,656/17,712
  6. Step 6: Final answer
    x = 82,456.11

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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.