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Finding the Third Proportional to 43,687 and 65,462

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Solution

The third proportional to 43,687 and 65,462 is: 98,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,687 : 65,462 = 65,462 : x
  2. Step 2: Convert to fraction form
    43,687/65,462 = 65,462/x
  3. Step 3: Cross multiply
    43,687x = 65,462 × 65,462
  4. Step 4: Simplify right side
    43,687x = 4,285,273,444
  5. Step 5: Solve for x
    x = 4,285,273,444/43,687
  6. Step 6: Final answer
    x = 98,090.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.