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Finding the Third Proportional to 12,901.78 and 26,502.19

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Solution

The third proportional to 12,901.78 and 26,502.19 is: 54,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 26,502.19 = 26,502.19 : x
  2. Step 2: Convert to fraction form
    12,901.78/26,502.19 = 26,502.19/x
  3. Step 3: Cross multiply
    12,901.78x = 26,502.19 × 26,502.19
  4. Step 4: Simplify right side
    12,901.78x = 702,365,942.29
  5. Step 5: Solve for x
    x = 702,365,942.29/12,901.78
  6. Step 6: Final answer
    x = 54,439.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.