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Finding the Third Proportional to 4,560 and 6,964

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Solution

The third proportional to 4,560 and 6,964 is: 10,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560 : 6,964 = 6,964 : x
  2. Step 2: Convert to fraction form
    4,560/6,964 = 6,964/x
  3. Step 3: Cross multiply
    4,560x = 6,964 × 6,964
  4. Step 4: Simplify right side
    4,560x = 48,497,296
  5. Step 5: Solve for x
    x = 48,497,296/4,560
  6. Step 6: Final answer
    x = 10,635.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.