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Finding the Third Proportional to 12,415.78 and 29,133.42

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Solution

The third proportional to 12,415.78 and 29,133.42 is: 68,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 29,133.42 = 29,133.42 : x
  2. Step 2: Convert to fraction form
    12,415.78/29,133.42 = 29,133.42/x
  3. Step 3: Cross multiply
    12,415.78x = 29,133.42 × 29,133.42
  4. Step 4: Simplify right side
    12,415.78x = 848,756,270.15
  5. Step 5: Solve for x
    x = 848,756,270.15/12,415.78
  6. Step 6: Final answer
    x = 68,361.08

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.