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Finding the Third Proportional to 34,237.75 and 54,326.50

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Solution

The third proportional to 34,237.75 and 54,326.50 is: 86,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,237.75 : 54,326.50 = 54,326.50 : x
  2. Step 2: Convert to fraction form
    34,237.75/54,326.50 = 54,326.50/x
  3. Step 3: Cross multiply
    34,237.75x = 54,326.50 × 54,326.50
  4. Step 4: Simplify right side
    34,237.75x = 2,951,368,602.25
  5. Step 5: Solve for x
    x = 2,951,368,602.25/34,237.75
  6. Step 6: Final answer
    x = 86,202.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.