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Finding the Third Proportional to 29,556 and 44,262

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Solution

The third proportional to 29,556 and 44,262 is: 66,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,556 : 44,262 = 44,262 : x
  2. Step 2: Convert to fraction form
    29,556/44,262 = 44,262/x
  3. Step 3: Cross multiply
    29,556x = 44,262 × 44,262
  4. Step 4: Simplify right side
    29,556x = 1,959,124,644
  5. Step 5: Solve for x
    x = 1,959,124,644/29,556
  6. Step 6: Final answer
    x = 66,285.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.