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Finding the Third Proportional to 4,332.23 and 9,359.30

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Solution

The third proportional to 4,332.23 and 9,359.30 is: 20,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.23 : 9,359.30 = 9,359.30 : x
  2. Step 2: Convert to fraction form
    4,332.23/9,359.30 = 9,359.30/x
  3. Step 3: Cross multiply
    4,332.23x = 9,359.30 × 9,359.30
  4. Step 4: Simplify right side
    4,332.23x = 87,596,437.99
  5. Step 5: Solve for x
    x = 87,596,437.99/4,332.23
  6. Step 6: Final answer
    x = 20,219.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.