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Finding the Third Proportional to 12,214.69 and 26,767.69

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Solution

The third proportional to 12,214.69 and 26,767.69 is: 58,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.69 : 26,767.69 = 26,767.69 : x
  2. Step 2: Convert to fraction form
    12,214.69/26,767.69 = 26,767.69/x
  3. Step 3: Cross multiply
    12,214.69x = 26,767.69 × 26,767.69
  4. Step 4: Simplify right side
    12,214.69x = 716,509,094.10
  5. Step 5: Solve for x
    x = 716,509,094.10/12,214.69
  6. Step 6: Final answer
    x = 58,659.63

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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.