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Finding the Third Proportional to 29,778 and 45,213.75

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Solution

The third proportional to 29,778 and 45,213.75 is: 68,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778 : 45,213.75 = 45,213.75 : x
  2. Step 2: Convert to fraction form
    29,778/45,213.75 = 45,213.75/x
  3. Step 3: Cross multiply
    29,778x = 45,213.75 × 45,213.75
  4. Step 4: Simplify right side
    29,778x = 2,044,283,189.06
  5. Step 5: Solve for x
    x = 2,044,283,189.06/29,778
  6. Step 6: Final answer
    x = 68,650.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.