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Finding the Third Proportional to 12,278.25 and 26,892

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Solution

The third proportional to 12,278.25 and 26,892 is: 58,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.25 : 26,892 = 26,892 : x
  2. Step 2: Convert to fraction form
    12,278.25/26,892 = 26,892/x
  3. Step 3: Cross multiply
    12,278.25x = 26,892 × 26,892
  4. Step 4: Simplify right side
    12,278.25x = 723,179,664
  5. Step 5: Solve for x
    x = 723,179,664/12,278.25
  6. Step 6: Final answer
    x = 58,899.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.