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Finding the Third Proportional to 38,236 and 51,508

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Solution

The third proportional to 38,236 and 51,508 is: 69,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236 : 51,508 = 51,508 : x
  2. Step 2: Convert to fraction form
    38,236/51,508 = 51,508/x
  3. Step 3: Cross multiply
    38,236x = 51,508 × 51,508
  4. Step 4: Simplify right side
    38,236x = 2,653,074,064
  5. Step 5: Solve for x
    x = 2,653,074,064/38,236
  6. Step 6: Final answer
    x = 69,386.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.