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Finding the Third Proportional to 29,949.75 and 42,666.75

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Solution

The third proportional to 29,949.75 and 42,666.75 is: 60,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,949.75 : 42,666.75 = 42,666.75 : x
  2. Step 2: Convert to fraction form
    29,949.75/42,666.75 = 42,666.75/x
  3. Step 3: Cross multiply
    29,949.75x = 42,666.75 × 42,666.75
  4. Step 4: Simplify right side
    29,949.75x = 1,820,451,555.56
  5. Step 5: Solve for x
    x = 1,820,451,555.56/29,949.75
  6. Step 6: Final answer
    x = 60,783.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.