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Finding the Third Proportional to 39,867.19 and 74,722.50

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Solution

The third proportional to 39,867.19 and 74,722.50 is: 140,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,867.19 : 74,722.50 = 74,722.50 : x
  2. Step 2: Convert to fraction form
    39,867.19/74,722.50 = 74,722.50/x
  3. Step 3: Cross multiply
    39,867.19x = 74,722.50 × 74,722.50
  4. Step 4: Simplify right side
    39,867.19x = 5,583,452,006.25
  5. Step 5: Solve for x
    x = 5,583,452,006.25/39,867.19
  6. Step 6: Final answer
    x = 140,051.31

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.