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Finding the Third Proportional to 45,557.44 and 71,305.31

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Solution

The third proportional to 45,557.44 and 71,305.31 is: 111,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,557.44 : 71,305.31 = 71,305.31 : x
  2. Step 2: Convert to fraction form
    45,557.44/71,305.31 = 71,305.31/x
  3. Step 3: Cross multiply
    45,557.44x = 71,305.31 × 71,305.31
  4. Step 4: Simplify right side
    45,557.44x = 5,084,447,590.72
  5. Step 5: Solve for x
    x = 5,084,447,590.72/45,557.44
  6. Step 6: Final answer
    x = 111,605.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.