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Finding the Third Proportional to 40,323 and 64,738.50

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Solution

The third proportional to 40,323 and 64,738.50 is: 103,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,323 : 64,738.50 = 64,738.50 : x
  2. Step 2: Convert to fraction form
    40,323/64,738.50 = 64,738.50/x
  3. Step 3: Cross multiply
    40,323x = 64,738.50 × 64,738.50
  4. Step 4: Simplify right side
    40,323x = 4,191,073,382.25
  5. Step 5: Solve for x
    x = 4,191,073,382.25/40,323
  6. Step 6: Final answer
    x = 103,937.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.