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Finding the Third Proportional to 29,029.50 and 44,865

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Solution

The third proportional to 29,029.50 and 44,865 is: 69,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,029.50 : 44,865 = 44,865 : x
  2. Step 2: Convert to fraction form
    29,029.50/44,865 = 44,865/x
  3. Step 3: Cross multiply
    29,029.50x = 44,865 × 44,865
  4. Step 4: Simplify right side
    29,029.50x = 2,012,868,225
  5. Step 5: Solve for x
    x = 2,012,868,225/29,029.50
  6. Step 6: Final answer
    x = 69,338.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.