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Finding the Third Proportional to 29,380.50 and 52,929

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Solution

The third proportional to 29,380.50 and 52,929 is: 95,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.50 : 52,929 = 52,929 : x
  2. Step 2: Convert to fraction form
    29,380.50/52,929 = 52,929/x
  3. Step 3: Cross multiply
    29,380.50x = 52,929 × 52,929
  4. Step 4: Simplify right side
    29,380.50x = 2,801,479,041
  5. Step 5: Solve for x
    x = 2,801,479,041/29,380.50
  6. Step 6: Final answer
    x = 95,351.65

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.