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Finding the Third Proportional to 29,991 and 44,014

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Solution

The third proportional to 29,991 and 44,014 is: 64,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991 : 44,014 = 44,014 : x
  2. Step 2: Convert to fraction form
    29,991/44,014 = 44,014/x
  3. Step 3: Cross multiply
    29,991x = 44,014 × 44,014
  4. Step 4: Simplify right side
    29,991x = 1,937,232,196
  5. Step 5: Solve for x
    x = 1,937,232,196/29,991
  6. Step 6: Final answer
    x = 64,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.