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Finding the Third Proportional to 40,768.50 and 63,008.75

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Solution

The third proportional to 40,768.50 and 63,008.75 is: 97,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,768.50 : 63,008.75 = 63,008.75 : x
  2. Step 2: Convert to fraction form
    40,768.50/63,008.75 = 63,008.75/x
  3. Step 3: Cross multiply
    40,768.50x = 63,008.75 × 63,008.75
  4. Step 4: Simplify right side
    40,768.50x = 3,970,102,576.56
  5. Step 5: Solve for x
    x = 3,970,102,576.56/40,768.50
  6. Step 6: Final answer
    x = 97,381.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.