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Finding the Third Proportional to 4,476 and 7,630

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Solution

The third proportional to 4,476 and 7,630 is: 13,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476 : 7,630 = 7,630 : x
  2. Step 2: Convert to fraction form
    4,476/7,630 = 7,630/x
  3. Step 3: Cross multiply
    4,476x = 7,630 × 7,630
  4. Step 4: Simplify right side
    4,476x = 58,216,900
  5. Step 5: Solve for x
    x = 58,216,900/4,476
  6. Step 6: Final answer
    x = 13,006.46

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.