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Finding the Third Proportional to 17,569.41 and 38,257.31

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Solution

The third proportional to 17,569.41 and 38,257.31 is: 83,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.41 : 38,257.31 = 38,257.31 : x
  2. Step 2: Convert to fraction form
    17,569.41/38,257.31 = 38,257.31/x
  3. Step 3: Cross multiply
    17,569.41x = 38,257.31 × 38,257.31
  4. Step 4: Simplify right side
    17,569.41x = 1,463,621,959.72
  5. Step 5: Solve for x
    x = 1,463,621,959.72/17,569.41
  6. Step 6: Final answer
    x = 83,305.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.