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Finding the Third Proportional to 40,032 and 57,979

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Solution

The third proportional to 40,032 and 57,979 is: 83,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032 : 57,979 = 57,979 : x
  2. Step 2: Convert to fraction form
    40,032/57,979 = 57,979/x
  3. Step 3: Cross multiply
    40,032x = 57,979 × 57,979
  4. Step 4: Simplify right side
    40,032x = 3,361,564,441
  5. Step 5: Solve for x
    x = 3,361,564,441/40,032
  6. Step 6: Final answer
    x = 83,971.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.