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Finding the Third Proportional to 26,327 and 56,362

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Solution

The third proportional to 26,327 and 56,362 is: 120,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,327 : 56,362 = 56,362 : x
  2. Step 2: Convert to fraction form
    26,327/56,362 = 56,362/x
  3. Step 3: Cross multiply
    26,327x = 56,362 × 56,362
  4. Step 4: Simplify right side
    26,327x = 3,176,675,044
  5. Step 5: Solve for x
    x = 3,176,675,044/26,327
  6. Step 6: Final answer
    x = 120,662.25

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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.