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Finding the Third Proportional to 12,127.78 and 26,169.19

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Solution

The third proportional to 12,127.78 and 26,169.19 is: 56,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.78 : 26,169.19 = 26,169.19 : x
  2. Step 2: Convert to fraction form
    12,127.78/26,169.19 = 26,169.19/x
  3. Step 3: Cross multiply
    12,127.78x = 26,169.19 × 26,169.19
  4. Step 4: Simplify right side
    12,127.78x = 684,826,374.41
  5. Step 5: Solve for x
    x = 684,826,374.41/12,127.78
  6. Step 6: Final answer
    x = 56,467.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.