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Finding the Third Proportional to 4,422.94 and 9,523.13

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Solution

The third proportional to 4,422.94 and 9,523.13 is: 20,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.94 : 9,523.13 = 9,523.13 : x
  2. Step 2: Convert to fraction form
    4,422.94/9,523.13 = 9,523.13/x
  3. Step 3: Cross multiply
    4,422.94x = 9,523.13 × 9,523.13
  4. Step 4: Simplify right side
    4,422.94x = 90,689,909.77
  5. Step 5: Solve for x
    x = 90,689,909.77/4,422.94
  6. Step 6: Final answer
    x = 20,504.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.