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Finding the Third Proportional to 12,896.72 and 28,253.81

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Solution

The third proportional to 12,896.72 and 28,253.81 is: 61,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.72 : 28,253.81 = 28,253.81 : x
  2. Step 2: Convert to fraction form
    12,896.72/28,253.81 = 28,253.81/x
  3. Step 3: Cross multiply
    12,896.72x = 28,253.81 × 28,253.81
  4. Step 4: Simplify right side
    12,896.72x = 798,277,920.79
  5. Step 5: Solve for x
    x = 798,277,920.79/12,896.72
  6. Step 6: Final answer
    x = 61,897.75

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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.