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Finding the Third Proportional to 43,460 and 65,676

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Solution

The third proportional to 43,460 and 65,676 is: 99,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460 : 65,676 = 65,676 : x
  2. Step 2: Convert to fraction form
    43,460/65,676 = 65,676/x
  3. Step 3: Cross multiply
    43,460x = 65,676 × 65,676
  4. Step 4: Simplify right side
    43,460x = 4,313,336,976
  5. Step 5: Solve for x
    x = 4,313,336,976/43,460
  6. Step 6: Final answer
    x = 99,248.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.