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Finding the Third Proportional to 12,131.65 and 26,176.92

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Solution

The third proportional to 12,131.65 and 26,176.92 is: 56,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.65 : 26,176.92 = 26,176.92 : x
  2. Step 2: Convert to fraction form
    12,131.65/26,176.92 = 26,176.92/x
  3. Step 3: Cross multiply
    12,131.65x = 26,176.92 × 26,176.92
  4. Step 4: Simplify right side
    12,131.65x = 685,231,238.85
  5. Step 5: Solve for x
    x = 685,231,238.85/12,131.65
  6. Step 6: Final answer
    x = 56,482.95

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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.