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Finding the Third Proportional to 12,802.50 and 26,811

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Solution

The third proportional to 12,802.50 and 26,811 is: 56,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 26,811 = 26,811 : x
  2. Step 2: Convert to fraction form
    12,802.50/26,811 = 26,811/x
  3. Step 3: Cross multiply
    12,802.50x = 26,811 × 26,811
  4. Step 4: Simplify right side
    12,802.50x = 718,829,721
  5. Step 5: Solve for x
    x = 718,829,721/12,802.50
  6. Step 6: Final answer
    x = 56,147.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.