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Finding the Third Proportional to 12,480.19 and 27,146.81

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Solution

The third proportional to 12,480.19 and 27,146.81 is: 59,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.19 : 27,146.81 = 27,146.81 : x
  2. Step 2: Convert to fraction form
    12,480.19/27,146.81 = 27,146.81/x
  3. Step 3: Cross multiply
    12,480.19x = 27,146.81 × 27,146.81
  4. Step 4: Simplify right side
    12,480.19x = 736,949,428.91
  5. Step 5: Solve for x
    x = 736,949,428.91/12,480.19
  6. Step 6: Final answer
    x = 59,049.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.