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Finding the Third Proportional to 29,823 and 68,983.50

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Solution

The third proportional to 29,823 and 68,983.50 is: 159,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 68,983.50 = 68,983.50 : x
  2. Step 2: Convert to fraction form
    29,823/68,983.50 = 68,983.50/x
  3. Step 3: Cross multiply
    29,823x = 68,983.50 × 68,983.50
  4. Step 4: Simplify right side
    29,823x = 4,758,723,272.25
  5. Step 5: Solve for x
    x = 4,758,723,272.25/29,823
  6. Step 6: Final answer
    x = 159,565.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.