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Finding the Third Proportional to 17,870.63 and 39,241.97

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Solution

The third proportional to 17,870.63 and 39,241.97 is: 86,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.63 : 39,241.97 = 39,241.97 : x
  2. Step 2: Convert to fraction form
    17,870.63/39,241.97 = 39,241.97/x
  3. Step 3: Cross multiply
    17,870.63x = 39,241.97 × 39,241.97
  4. Step 4: Simplify right side
    17,870.63x = 1,539,932,111.38
  5. Step 5: Solve for x
    x = 1,539,932,111.38/17,870.63
  6. Step 6: Final answer
    x = 86,171.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.