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Finding the Third Proportional to 26,346 and 50,262

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Solution

The third proportional to 26,346 and 50,262 is: 95,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,346 : 50,262 = 50,262 : x
  2. Step 2: Convert to fraction form
    26,346/50,262 = 50,262/x
  3. Step 3: Cross multiply
    26,346x = 50,262 × 50,262
  4. Step 4: Simplify right side
    26,346x = 2,526,268,644
  5. Step 5: Solve for x
    x = 2,526,268,644/26,346
  6. Step 6: Final answer
    x = 95,888.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.