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Finding the Third Proportional to 38,998 and 62,803

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Solution

The third proportional to 38,998 and 62,803 is: 101,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998 : 62,803 = 62,803 : x
  2. Step 2: Convert to fraction form
    38,998/62,803 = 62,803/x
  3. Step 3: Cross multiply
    38,998x = 62,803 × 62,803
  4. Step 4: Simplify right side
    38,998x = 3,944,216,809
  5. Step 5: Solve for x
    x = 3,944,216,809/38,998
  6. Step 6: Final answer
    x = 101,138.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.