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Finding the Third Proportional to 17,973.75 and 38,549.25

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Solution

The third proportional to 17,973.75 and 38,549.25 is: 82,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.75 : 38,549.25 = 38,549.25 : x
  2. Step 2: Convert to fraction form
    17,973.75/38,549.25 = 38,549.25/x
  3. Step 3: Cross multiply
    17,973.75x = 38,549.25 × 38,549.25
  4. Step 4: Simplify right side
    17,973.75x = 1,486,044,675.56
  5. Step 5: Solve for x
    x = 1,486,044,675.56/17,973.75
  6. Step 6: Final answer
    x = 82,678.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.