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Finding the Third Proportional to 21,400.14 and 46,759.94

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Solution

The third proportional to 21,400.14 and 46,759.94 is: 102,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.14 : 46,759.94 = 46,759.94 : x
  2. Step 2: Convert to fraction form
    21,400.14/46,759.94 = 46,759.94/x
  3. Step 3: Cross multiply
    21,400.14x = 46,759.94 × 46,759.94
  4. Step 4: Simplify right side
    21,400.14x = 2,186,491,937.66
  5. Step 5: Solve for x
    x = 2,186,491,937.66/21,400.14
  6. Step 6: Final answer
    x = 102,171.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.