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Finding the Third Proportional to 26,187 and 55,335

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Solution

The third proportional to 26,187 and 55,335 is: 116,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,187 : 55,335 = 55,335 : x
  2. Step 2: Convert to fraction form
    26,187/55,335 = 55,335/x
  3. Step 3: Cross multiply
    26,187x = 55,335 × 55,335
  4. Step 4: Simplify right side
    26,187x = 3,061,962,225
  5. Step 5: Solve for x
    x = 3,061,962,225/26,187
  6. Step 6: Final answer
    x = 116,926.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.