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Finding the Third Proportional to 12,470.06 and 27,708.19

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Solution

The third proportional to 12,470.06 and 27,708.19 is: 61,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.06 : 27,708.19 = 27,708.19 : x
  2. Step 2: Convert to fraction form
    12,470.06/27,708.19 = 27,708.19/x
  3. Step 3: Cross multiply
    12,470.06x = 27,708.19 × 27,708.19
  4. Step 4: Simplify right side
    12,470.06x = 767,743,654.54
  5. Step 5: Solve for x
    x = 767,743,654.54/12,470.06
  6. Step 6: Final answer
    x = 61,566.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.