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Finding the Third Proportional to 29,881.41 and 40,603.78

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Solution

The third proportional to 29,881.41 and 40,603.78 is: 55,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.41 : 40,603.78 = 40,603.78 : x
  2. Step 2: Convert to fraction form
    29,881.41/40,603.78 = 40,603.78/x
  3. Step 3: Cross multiply
    29,881.41x = 40,603.78 × 40,603.78
  4. Step 4: Simplify right side
    29,881.41x = 1,648,667,051.80
  5. Step 5: Solve for x
    x = 1,648,667,051.80/29,881.41
  6. Step 6: Final answer
    x = 55,173.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.