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Finding the Third Proportional to 12,412.31 and 26,601.38

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Solution

The third proportional to 12,412.31 and 26,601.38 is: 57,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.31 : 26,601.38 = 26,601.38 : x
  2. Step 2: Convert to fraction form
    12,412.31/26,601.38 = 26,601.38/x
  3. Step 3: Cross multiply
    12,412.31x = 26,601.38 × 26,601.38
  4. Step 4: Simplify right side
    12,412.31x = 707,633,151.89
  5. Step 5: Solve for x
    x = 707,633,151.89/12,412.31
  6. Step 6: Final answer
    x = 57,010.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.