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Finding the Third Proportional to 4,240.69 and 9,523.41

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Solution

The third proportional to 4,240.69 and 9,523.41 is: 21,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.69 : 9,523.41 = 9,523.41 : x
  2. Step 2: Convert to fraction form
    4,240.69/9,523.41 = 9,523.41/x
  3. Step 3: Cross multiply
    4,240.69x = 9,523.41 × 9,523.41
  4. Step 4: Simplify right side
    4,240.69x = 90,695,266.60
  5. Step 5: Solve for x
    x = 90,695,266.60/4,240.69
  6. Step 6: Final answer
    x = 21,386.93

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.