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Finding the Third Proportional to 29,065 and 44,996

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Solution

The third proportional to 29,065 and 44,996 is: 69,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065 : 44,996 = 44,996 : x
  2. Step 2: Convert to fraction form
    29,065/44,996 = 44,996/x
  3. Step 3: Cross multiply
    29,065x = 44,996 × 44,996
  4. Step 4: Simplify right side
    29,065x = 2,024,640,016
  5. Step 5: Solve for x
    x = 2,024,640,016/29,065
  6. Step 6: Final answer
    x = 69,659.04

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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.