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Finding the Third Proportional to 13,934.75 and 21,827

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Solution

The third proportional to 13,934.75 and 21,827 is: 34,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.75 : 21,827 = 21,827 : x
  2. Step 2: Convert to fraction form
    13,934.75/21,827 = 21,827/x
  3. Step 3: Cross multiply
    13,934.75x = 21,827 × 21,827
  4. Step 4: Simplify right side
    13,934.75x = 476,417,929
  5. Step 5: Solve for x
    x = 476,417,929/13,934.75
  6. Step 6: Final answer
    x = 34,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.