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Finding the Third Proportional to 4,332.23 and 9,379.55

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Solution

The third proportional to 4,332.23 and 9,379.55 is: 20,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.23 : 9,379.55 = 9,379.55 : x
  2. Step 2: Convert to fraction form
    4,332.23/9,379.55 = 9,379.55/x
  3. Step 3: Cross multiply
    4,332.23x = 9,379.55 × 9,379.55
  4. Step 4: Simplify right side
    4,332.23x = 87,975,899.58
  5. Step 5: Solve for x
    x = 87,975,899.58/4,332.23
  6. Step 6: Final answer
    x = 20,307.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.