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Finding the Third Proportional to 5,848.31 and 12,790.13

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Solution

The third proportional to 5,848.31 and 12,790.13 is: 27,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.31 : 12,790.13 = 12,790.13 : x
  2. Step 2: Convert to fraction form
    5,848.31/12,790.13 = 12,790.13/x
  3. Step 3: Cross multiply
    5,848.31x = 12,790.13 × 12,790.13
  4. Step 4: Simplify right side
    5,848.31x = 163,587,297.52
  5. Step 5: Solve for x
    x = 163,587,297.52/5,848.31
  6. Step 6: Final answer
    x = 27,971.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.