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Finding the Third Proportional to 21,891.75 and 34,710.75

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Solution

The third proportional to 21,891.75 and 34,710.75 is: 55,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.75 : 34,710.75 = 34,710.75 : x
  2. Step 2: Convert to fraction form
    21,891.75/34,710.75 = 34,710.75/x
  3. Step 3: Cross multiply
    21,891.75x = 34,710.75 × 34,710.75
  4. Step 4: Simplify right side
    21,891.75x = 1,204,836,165.56
  5. Step 5: Solve for x
    x = 1,204,836,165.56/21,891.75
  6. Step 6: Final answer
    x = 55,036.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.