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Finding the Third Proportional to 40,032 and 59,904

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Solution

The third proportional to 40,032 and 59,904 is: 89,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032 : 59,904 = 59,904 : x
  2. Step 2: Convert to fraction form
    40,032/59,904 = 59,904/x
  3. Step 3: Cross multiply
    40,032x = 59,904 × 59,904
  4. Step 4: Simplify right side
    40,032x = 3,588,489,216
  5. Step 5: Solve for x
    x = 3,588,489,216/40,032
  6. Step 6: Final answer
    x = 89,640.52

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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.