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Finding the Third Proportional to 40,751 and 64,838.50

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Solution

The third proportional to 40,751 and 64,838.50 is: 103,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,751 : 64,838.50 = 64,838.50 : x
  2. Step 2: Convert to fraction form
    40,751/64,838.50 = 64,838.50/x
  3. Step 3: Cross multiply
    40,751x = 64,838.50 × 64,838.50
  4. Step 4: Simplify right side
    40,751x = 4,204,031,082.25
  5. Step 5: Solve for x
    x = 4,204,031,082.25/40,751
  6. Step 6: Final answer
    x = 103,163.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.