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Finding the Third Proportional to 52,594.50 and 71,855.25

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Solution

The third proportional to 52,594.50 and 71,855.25 is: 98,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.50 : 71,855.25 = 71,855.25 : x
  2. Step 2: Convert to fraction form
    52,594.50/71,855.25 = 71,855.25/x
  3. Step 3: Cross multiply
    52,594.50x = 71,855.25 × 71,855.25
  4. Step 4: Simplify right side
    52,594.50x = 5,163,176,952.56
  5. Step 5: Solve for x
    x = 5,163,176,952.56/52,594.50
  6. Step 6: Final answer
    x = 98,169.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.