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Finding the Third Proportional to 29,630.81 and 62,906.63

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Solution

The third proportional to 29,630.81 and 62,906.63 is: 133,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,630.81 : 62,906.63 = 62,906.63 : x
  2. Step 2: Convert to fraction form
    29,630.81/62,906.63 = 62,906.63/x
  3. Step 3: Cross multiply
    29,630.81x = 62,906.63 × 62,906.63
  4. Step 4: Simplify right side
    29,630.81x = 3,957,243,468.89
  5. Step 5: Solve for x
    x = 3,957,243,468.89/29,630.81
  6. Step 6: Final answer
    x = 133,551.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.