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Finding the Third Proportional to 35,238 and 51,689

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Solution

The third proportional to 35,238 and 51,689 is: 75,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238 : 51,689 = 51,689 : x
  2. Step 2: Convert to fraction form
    35,238/51,689 = 51,689/x
  3. Step 3: Cross multiply
    35,238x = 51,689 × 51,689
  4. Step 4: Simplify right side
    35,238x = 2,671,752,721
  5. Step 5: Solve for x
    x = 2,671,752,721/35,238
  6. Step 6: Final answer
    x = 75,820.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.