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Finding the Third Proportional to 39,800.25 and 54,085.50

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Solution

The third proportional to 39,800.25 and 54,085.50 is: 73,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800.25 : 54,085.50 = 54,085.50 : x
  2. Step 2: Convert to fraction form
    39,800.25/54,085.50 = 54,085.50/x
  3. Step 3: Cross multiply
    39,800.25x = 54,085.50 × 54,085.50
  4. Step 4: Simplify right side
    39,800.25x = 2,925,241,310.25
  5. Step 5: Solve for x
    x = 2,925,241,310.25/39,800.25
  6. Step 6: Final answer
    x = 73,498.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.