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Finding the Third Proportional to 39,730.50 and 57,118.50

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Solution

The third proportional to 39,730.50 and 57,118.50 is: 82,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730.50 : 57,118.50 = 57,118.50 : x
  2. Step 2: Convert to fraction form
    39,730.50/57,118.50 = 57,118.50/x
  3. Step 3: Cross multiply
    39,730.50x = 57,118.50 × 57,118.50
  4. Step 4: Simplify right side
    39,730.50x = 3,262,523,042.25
  5. Step 5: Solve for x
    x = 3,262,523,042.25/39,730.50
  6. Step 6: Final answer
    x = 82,116.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.