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Finding the Third Proportional to 42,926.50 and 65,665.50

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Solution

The third proportional to 42,926.50 and 65,665.50 is: 100,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,926.50 : 65,665.50 = 65,665.50 : x
  2. Step 2: Convert to fraction form
    42,926.50/65,665.50 = 65,665.50/x
  3. Step 3: Cross multiply
    42,926.50x = 65,665.50 × 65,665.50
  4. Step 4: Simplify right side
    42,926.50x = 4,311,957,890.25
  5. Step 5: Solve for x
    x = 4,311,957,890.25/42,926.50
  6. Step 6: Final answer
    x = 100,449.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.