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Finding the Third Proportional to 17,899.31 and 38,744.16

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Solution

The third proportional to 17,899.31 and 38,744.16 is: 83,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,899.31 : 38,744.16 = 38,744.16 : x
  2. Step 2: Convert to fraction form
    17,899.31/38,744.16 = 38,744.16/x
  3. Step 3: Cross multiply
    17,899.31x = 38,744.16 × 38,744.16
  4. Step 4: Simplify right side
    17,899.31x = 1,501,109,643.52
  5. Step 5: Solve for x
    x = 1,501,109,643.52/17,899.31
  6. Step 6: Final answer
    x = 83,864.09

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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.