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Finding the Third Proportional to 26,953 and 38,577

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Solution

The third proportional to 26,953 and 38,577 is: 55,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953 : 38,577 = 38,577 : x
  2. Step 2: Convert to fraction form
    26,953/38,577 = 38,577/x
  3. Step 3: Cross multiply
    26,953x = 38,577 × 38,577
  4. Step 4: Simplify right side
    26,953x = 1,488,184,929
  5. Step 5: Solve for x
    x = 1,488,184,929/26,953
  6. Step 6: Final answer
    x = 55,214.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.