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Finding the Third Proportional to 52,844 and 72,462

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Solution

The third proportional to 52,844 and 72,462 is: 99,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,844 : 72,462 = 72,462 : x
  2. Step 2: Convert to fraction form
    52,844/72,462 = 72,462/x
  3. Step 3: Cross multiply
    52,844x = 72,462 × 72,462
  4. Step 4: Simplify right side
    52,844x = 5,250,741,444
  5. Step 5: Solve for x
    x = 5,250,741,444/52,844
  6. Step 6: Final answer
    x = 99,363.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.