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Finding the Third Proportional to 4,569 and 9,630

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Solution

The third proportional to 4,569 and 9,630 is: 20,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 9,630 = 9,630 : x
  2. Step 2: Convert to fraction form
    4,569/9,630 = 9,630/x
  3. Step 3: Cross multiply
    4,569x = 9,630 × 9,630
  4. Step 4: Simplify right side
    4,569x = 92,736,900
  5. Step 5: Solve for x
    x = 92,736,900/4,569
  6. Step 6: Final answer
    x = 20,296.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.