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Finding the Third Proportional to 12,166.88 and 26,153.44

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Solution

The third proportional to 12,166.88 and 26,153.44 is: 56,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.88 : 26,153.44 = 26,153.44 : x
  2. Step 2: Convert to fraction form
    12,166.88/26,153.44 = 26,153.44/x
  3. Step 3: Cross multiply
    12,166.88x = 26,153.44 × 26,153.44
  4. Step 4: Simplify right side
    12,166.88x = 684,002,293.07
  5. Step 5: Solve for x
    x = 684,002,293.07/12,166.88
  6. Step 6: Final answer
    x = 56,218.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.