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Finding the Third Proportional to 12,664.69 and 27,686.81

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Solution

The third proportional to 12,664.69 and 27,686.81 is: 60,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.69 : 27,686.81 = 27,686.81 : x
  2. Step 2: Convert to fraction form
    12,664.69/27,686.81 = 27,686.81/x
  3. Step 3: Cross multiply
    12,664.69x = 27,686.81 × 27,686.81
  4. Step 4: Simplify right side
    12,664.69x = 766,559,586.41
  5. Step 5: Solve for x
    x = 766,559,586.41/12,664.69
  6. Step 6: Final answer
    x = 60,527.32

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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.