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Finding the Third Proportional to 34,352.25 and 54,643.50

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Solution

The third proportional to 34,352.25 and 54,643.50 is: 86,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352.25 : 54,643.50 = 54,643.50 : x
  2. Step 2: Convert to fraction form
    34,352.25/54,643.50 = 54,643.50/x
  3. Step 3: Cross multiply
    34,352.25x = 54,643.50 × 54,643.50
  4. Step 4: Simplify right side
    34,352.25x = 2,985,912,092.25
  5. Step 5: Solve for x
    x = 2,985,912,092.25/34,352.25
  6. Step 6: Final answer
    x = 86,920.42

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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.