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Finding the Third Proportional to 29,353 and 44,169

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Solution

The third proportional to 29,353 and 44,169 is: 66,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,353 : 44,169 = 44,169 : x
  2. Step 2: Convert to fraction form
    29,353/44,169 = 44,169/x
  3. Step 3: Cross multiply
    29,353x = 44,169 × 44,169
  4. Step 4: Simplify right side
    29,353x = 1,950,900,561
  5. Step 5: Solve for x
    x = 1,950,900,561/29,353
  6. Step 6: Final answer
    x = 66,463.41

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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.