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Finding the Third Proportional to 38,238 and 56,943

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Solution

The third proportional to 38,238 and 56,943 is: 84,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238 : 56,943 = 56,943 : x
  2. Step 2: Convert to fraction form
    38,238/56,943 = 56,943/x
  3. Step 3: Cross multiply
    38,238x = 56,943 × 56,943
  4. Step 4: Simplify right side
    38,238x = 3,242,505,249
  5. Step 5: Solve for x
    x = 3,242,505,249/38,238
  6. Step 6: Final answer
    x = 84,797.98

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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.