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Finding the Third Proportional to 12,170.81 and 26,159.06

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Solution

The third proportional to 12,170.81 and 26,159.06 is: 56,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.81 : 26,159.06 = 26,159.06 : x
  2. Step 2: Convert to fraction form
    12,170.81/26,159.06 = 26,159.06/x
  3. Step 3: Cross multiply
    12,170.81x = 26,159.06 × 26,159.06
  4. Step 4: Simplify right side
    12,170.81x = 684,296,550.88
  5. Step 5: Solve for x
    x = 684,296,550.88/12,170.81
  6. Step 6: Final answer
    x = 56,224.39

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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.