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Finding the Third Proportional to 10,760.25 and 16,448.63

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Solution

The third proportional to 10,760.25 and 16,448.63 is: 25,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.25 : 16,448.63 = 16,448.63 : x
  2. Step 2: Convert to fraction form
    10,760.25/16,448.63 = 16,448.63/x
  3. Step 3: Cross multiply
    10,760.25x = 16,448.63 × 16,448.63
  4. Step 4: Simplify right side
    10,760.25x = 270,557,264.39
  5. Step 5: Solve for x
    x = 270,557,264.39/10,760.25
  6. Step 6: Final answer
    x = 25,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.