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Finding the Third Proportional to 17,671.61 and 38,111.13

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Solution

The third proportional to 17,671.61 and 38,111.13 is: 82,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.61 : 38,111.13 = 38,111.13 : x
  2. Step 2: Convert to fraction form
    17,671.61/38,111.13 = 38,111.13/x
  3. Step 3: Cross multiply
    17,671.61x = 38,111.13 × 38,111.13
  4. Step 4: Simplify right side
    17,671.61x = 1,452,458,444.25
  5. Step 5: Solve for x
    x = 1,452,458,444.25/17,671.61
  6. Step 6: Final answer
    x = 82,191.65

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