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Finding the Third Proportional to 40,646 and 57,999

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Solution

The third proportional to 40,646 and 57,999 is: 82,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,646 : 57,999 = 57,999 : x
  2. Step 2: Convert to fraction form
    40,646/57,999 = 57,999/x
  3. Step 3: Cross multiply
    40,646x = 57,999 × 57,999
  4. Step 4: Simplify right side
    40,646x = 3,363,884,001
  5. Step 5: Solve for x
    x = 3,363,884,001/40,646
  6. Step 6: Final answer
    x = 82,760.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.