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Finding the Third Proportional to 44,395 and 65,917

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Solution

The third proportional to 44,395 and 65,917 is: 97,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,395 : 65,917 = 65,917 : x
  2. Step 2: Convert to fraction form
    44,395/65,917 = 65,917/x
  3. Step 3: Cross multiply
    44,395x = 65,917 × 65,917
  4. Step 4: Simplify right side
    44,395x = 4,345,050,889
  5. Step 5: Solve for x
    x = 4,345,050,889/44,395
  6. Step 6: Final answer
    x = 97,872.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.