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Finding the Third Proportional to 39,002.50 and 64,065.75

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Solution

The third proportional to 39,002.50 and 64,065.75 is: 105,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,002.50 : 64,065.75 = 64,065.75 : x
  2. Step 2: Convert to fraction form
    39,002.50/64,065.75 = 64,065.75/x
  3. Step 3: Cross multiply
    39,002.50x = 64,065.75 × 64,065.75
  4. Step 4: Simplify right side
    39,002.50x = 4,104,420,323.06
  5. Step 5: Solve for x
    x = 4,104,420,323.06/39,002.50
  6. Step 6: Final answer
    x = 105,234.80

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.