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Finding the Third Proportional to 26,334 and 56,374

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Solution

The third proportional to 26,334 and 56,374 is: 120,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,334 : 56,374 = 56,374 : x
  2. Step 2: Convert to fraction form
    26,334/56,374 = 56,374/x
  3. Step 3: Cross multiply
    26,334x = 56,374 × 56,374
  4. Step 4: Simplify right side
    26,334x = 3,178,027,876
  5. Step 5: Solve for x
    x = 3,178,027,876/26,334
  6. Step 6: Final answer
    x = 120,681.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.