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Finding the Third Proportional to 29,596 and 44,288

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Solution

The third proportional to 29,596 and 44,288 is: 66,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596 : 44,288 = 44,288 : x
  2. Step 2: Convert to fraction form
    29,596/44,288 = 44,288/x
  3. Step 3: Cross multiply
    29,596x = 44,288 × 44,288
  4. Step 4: Simplify right side
    29,596x = 1,961,426,944
  5. Step 5: Solve for x
    x = 1,961,426,944/29,596
  6. Step 6: Final answer
    x = 66,273.38

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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.