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Finding the Third Proportional to 29,095 and 44,489

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Solution

The third proportional to 29,095 and 44,489 is: 68,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,095 : 44,489 = 44,489 : x
  2. Step 2: Convert to fraction form
    29,095/44,489 = 44,489/x
  3. Step 3: Cross multiply
    29,095x = 44,489 × 44,489
  4. Step 4: Simplify right side
    29,095x = 1,979,271,121
  5. Step 5: Solve for x
    x = 1,979,271,121/29,095
  6. Step 6: Final answer
    x = 68,027.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.