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Finding the Third Proportional to 7,022 and 12,964

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Solution

The third proportional to 7,022 and 12,964 is: 23,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022 : 12,964 = 12,964 : x
  2. Step 2: Convert to fraction form
    7,022/12,964 = 12,964/x
  3. Step 3: Cross multiply
    7,022x = 12,964 × 12,964
  4. Step 4: Simplify right side
    7,022x = 168,065,296
  5. Step 5: Solve for x
    x = 168,065,296/7,022
  6. Step 6: Final answer
    x = 23,934.11

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.