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Finding the Third Proportional to 17,784.75 and 25,759.13

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Solution

The third proportional to 17,784.75 and 25,759.13 is: 37,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.75 : 25,759.13 = 25,759.13 : x
  2. Step 2: Convert to fraction form
    17,784.75/25,759.13 = 25,759.13/x
  3. Step 3: Cross multiply
    17,784.75x = 25,759.13 × 25,759.13
  4. Step 4: Simplify right side
    17,784.75x = 663,532,520.77
  5. Step 5: Solve for x
    x = 663,532,520.77/17,784.75
  6. Step 6: Final answer
    x = 37,309.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.