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Finding the Third Proportional to 38,977.50 and 62,773

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Solution

The third proportional to 38,977.50 and 62,773 is: 101,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977.50 : 62,773 = 62,773 : x
  2. Step 2: Convert to fraction form
    38,977.50/62,773 = 62,773/x
  3. Step 3: Cross multiply
    38,977.50x = 62,773 × 62,773
  4. Step 4: Simplify right side
    38,977.50x = 3,940,449,529
  5. Step 5: Solve for x
    x = 3,940,449,529/38,977.50
  6. Step 6: Final answer
    x = 101,095.49

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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.