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Finding the Third Proportional to 17,901.84 and 38,710.78

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Solution

The third proportional to 17,901.84 and 38,710.78 is: 83,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901.84 : 38,710.78 = 38,710.78 : x
  2. Step 2: Convert to fraction form
    17,901.84/38,710.78 = 38,710.78/x
  3. Step 3: Cross multiply
    17,901.84x = 38,710.78 × 38,710.78
  4. Step 4: Simplify right side
    17,901.84x = 1,498,524,584.99
  5. Step 5: Solve for x
    x = 1,498,524,584.99/17,901.84
  6. Step 6: Final answer
    x = 83,707.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.