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Finding the Third Proportional to 43,976 and 65,140

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Solution

The third proportional to 43,976 and 65,140 is: 96,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,976 : 65,140 = 65,140 : x
  2. Step 2: Convert to fraction form
    43,976/65,140 = 65,140/x
  3. Step 3: Cross multiply
    43,976x = 65,140 × 65,140
  4. Step 4: Simplify right side
    43,976x = 4,243,219,600
  5. Step 5: Solve for x
    x = 4,243,219,600/43,976
  6. Step 6: Final answer
    x = 96,489.44

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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.