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Finding the Third Proportional to 12,357.56 and 26,355.38

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Solution

The third proportional to 12,357.56 and 26,355.38 is: 56,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.56 : 26,355.38 = 26,355.38 : x
  2. Step 2: Convert to fraction form
    12,357.56/26,355.38 = 26,355.38/x
  3. Step 3: Cross multiply
    12,357.56x = 26,355.38 × 26,355.38
  4. Step 4: Simplify right side
    12,357.56x = 694,605,791.39
  5. Step 5: Solve for x
    x = 694,605,791.39/12,357.56
  6. Step 6: Final answer
    x = 56,208.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.