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Finding the Third Proportional to 26,570 and 53,950

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Solution

The third proportional to 26,570 and 53,950 is: 109,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,570 : 53,950 = 53,950 : x
  2. Step 2: Convert to fraction form
    26,570/53,950 = 53,950/x
  3. Step 3: Cross multiply
    26,570x = 53,950 × 53,950
  4. Step 4: Simplify right side
    26,570x = 2,910,602,500
  5. Step 5: Solve for x
    x = 2,910,602,500/26,570
  6. Step 6: Final answer
    x = 109,544.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.