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Finding the Third Proportional to 8,058.75 and 17,947.50

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Solution

The third proportional to 8,058.75 and 17,947.50 is: 39,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.75 : 17,947.50 = 17,947.50 : x
  2. Step 2: Convert to fraction form
    8,058.75/17,947.50 = 17,947.50/x
  3. Step 3: Cross multiply
    8,058.75x = 17,947.50 × 17,947.50
  4. Step 4: Simplify right side
    8,058.75x = 322,112,756.25
  5. Step 5: Solve for x
    x = 322,112,756.25/8,058.75
  6. Step 6: Final answer
    x = 39,970.56

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.