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Finding the Third Proportional to 35,671.50 and 54,849.38

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Solution

The third proportional to 35,671.50 and 54,849.38 is: 84,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.50 : 54,849.38 = 54,849.38 : x
  2. Step 2: Convert to fraction form
    35,671.50/54,849.38 = 54,849.38/x
  3. Step 3: Cross multiply
    35,671.50x = 54,849.38 × 54,849.38
  4. Step 4: Simplify right side
    35,671.50x = 3,008,453,937.89
  5. Step 5: Solve for x
    x = 3,008,453,937.89/35,671.50
  6. Step 6: Final answer
    x = 84,337.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.