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Finding the Third Proportional to 40,956.50 and 64,259.75

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Solution

The third proportional to 40,956.50 and 64,259.75 is: 100,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,956.50 : 64,259.75 = 64,259.75 : x
  2. Step 2: Convert to fraction form
    40,956.50/64,259.75 = 64,259.75/x
  3. Step 3: Cross multiply
    40,956.50x = 64,259.75 × 64,259.75
  4. Step 4: Simplify right side
    40,956.50x = 4,129,315,470.06
  5. Step 5: Solve for x
    x = 4,129,315,470.06/40,956.50
  6. Step 6: Final answer
    x = 100,821.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.