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Finding the Third Proportional to 29,384 and 44,765

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Solution

The third proportional to 29,384 and 44,765 is: 68,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384 : 44,765 = 44,765 : x
  2. Step 2: Convert to fraction form
    29,384/44,765 = 44,765/x
  3. Step 3: Cross multiply
    29,384x = 44,765 × 44,765
  4. Step 4: Simplify right side
    29,384x = 2,003,905,225
  5. Step 5: Solve for x
    x = 2,003,905,225/29,384
  6. Step 6: Final answer
    x = 68,197.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.