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Finding the Third Proportional to 36,566 and 53,462

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Solution

The third proportional to 36,566 and 53,462 is: 78,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,566 : 53,462 = 53,462 : x
  2. Step 2: Convert to fraction form
    36,566/53,462 = 53,462/x
  3. Step 3: Cross multiply
    36,566x = 53,462 × 53,462
  4. Step 4: Simplify right side
    36,566x = 2,858,185,444
  5. Step 5: Solve for x
    x = 2,858,185,444/36,566
  6. Step 6: Final answer
    x = 78,165.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.