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Finding the Third Proportional to 26,700 and 43,014

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Solution

The third proportional to 26,700 and 43,014 is: 69,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,700 : 43,014 = 43,014 : x
  2. Step 2: Convert to fraction form
    26,700/43,014 = 43,014/x
  3. Step 3: Cross multiply
    26,700x = 43,014 × 43,014
  4. Step 4: Simplify right side
    26,700x = 1,850,204,196
  5. Step 5: Solve for x
    x = 1,850,204,196/26,700
  6. Step 6: Final answer
    x = 69,296.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.