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Finding the Third Proportional to 12,215.81 and 26,769.66

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Solution

The third proportional to 12,215.81 and 26,769.66 is: 58,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.81 : 26,769.66 = 26,769.66 : x
  2. Step 2: Convert to fraction form
    12,215.81/26,769.66 = 26,769.66/x
  3. Step 3: Cross multiply
    12,215.81x = 26,769.66 × 26,769.66
  4. Step 4: Simplify right side
    12,215.81x = 716,614,495.74
  5. Step 5: Solve for x
    x = 716,614,495.74/12,215.81
  6. Step 6: Final answer
    x = 58,662.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.