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Finding the Third Proportional to 39,849.50 and 59,697.50

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Solution

The third proportional to 39,849.50 and 59,697.50 is: 89,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,849.50 : 59,697.50 = 59,697.50 : x
  2. Step 2: Convert to fraction form
    39,849.50/59,697.50 = 59,697.50/x
  3. Step 3: Cross multiply
    39,849.50x = 59,697.50 × 59,697.50
  4. Step 4: Simplify right side
    39,849.50x = 3,563,791,506.25
  5. Step 5: Solve for x
    x = 3,563,791,506.25/39,849.50
  6. Step 6: Final answer
    x = 89,431.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.