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Finding the Third Proportional to 38,032 and 56,838

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Solution

The third proportional to 38,032 and 56,838 is: 84,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 56,838 = 56,838 : x
  2. Step 2: Convert to fraction form
    38,032/56,838 = 56,838/x
  3. Step 3: Cross multiply
    38,032x = 56,838 × 56,838
  4. Step 4: Simplify right side
    38,032x = 3,230,558,244
  5. Step 5: Solve for x
    x = 3,230,558,244/38,032
  6. Step 6: Final answer
    x = 84,943.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.