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Finding the Third Proportional to 38,146 and 50,931

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Solution

The third proportional to 38,146 and 50,931 is: 68,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146 : 50,931 = 50,931 : x
  2. Step 2: Convert to fraction form
    38,146/50,931 = 50,931/x
  3. Step 3: Cross multiply
    38,146x = 50,931 × 50,931
  4. Step 4: Simplify right side
    38,146x = 2,593,966,761
  5. Step 5: Solve for x
    x = 2,593,966,761/38,146
  6. Step 6: Final answer
    x = 68,001.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.