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Finding the Third Proportional to 29,251.75 and 48,049

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Solution

The third proportional to 29,251.75 and 48,049 is: 78,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,251.75 : 48,049 = 48,049 : x
  2. Step 2: Convert to fraction form
    29,251.75/48,049 = 48,049/x
  3. Step 3: Cross multiply
    29,251.75x = 48,049 × 48,049
  4. Step 4: Simplify right side
    29,251.75x = 2,308,706,401
  5. Step 5: Solve for x
    x = 2,308,706,401/29,251.75
  6. Step 6: Final answer
    x = 78,925.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.