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Finding the Third Proportional to 13,606.31 and 29,966.63

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Solution

The third proportional to 13,606.31 and 29,966.63 is: 65,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.31 : 29,966.63 = 29,966.63 : x
  2. Step 2: Convert to fraction form
    13,606.31/29,966.63 = 29,966.63/x
  3. Step 3: Cross multiply
    13,606.31x = 29,966.63 × 29,966.63
  4. Step 4: Simplify right side
    13,606.31x = 897,998,613.89
  5. Step 5: Solve for x
    x = 897,998,613.89/13,606.31
  6. Step 6: Final answer
    x = 65,998.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.