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Finding the Third Proportional to 13,471.31 and 28,968.89

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Solution

The third proportional to 13,471.31 and 28,968.89 is: 62,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.31 : 28,968.89 = 28,968.89 : x
  2. Step 2: Convert to fraction form
    13,471.31/28,968.89 = 28,968.89/x
  3. Step 3: Cross multiply
    13,471.31x = 28,968.89 × 28,968.89
  4. Step 4: Simplify right side
    13,471.31x = 839,196,624.04
  5. Step 5: Solve for x
    x = 839,196,624.04/13,471.31
  6. Step 6: Final answer
    x = 62,295.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.