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Finding the Third Proportional to 26,358 and 29,166

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Solution

The third proportional to 26,358 and 29,166 is: 32,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 29,166 = 29,166 : x
  2. Step 2: Convert to fraction form
    26,358/29,166 = 29,166/x
  3. Step 3: Cross multiply
    26,358x = 29,166 × 29,166
  4. Step 4: Simplify right side
    26,358x = 850,655,556
  5. Step 5: Solve for x
    x = 850,655,556/26,358
  6. Step 6: Final answer
    x = 32,273.15

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.