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Finding the Third Proportional to 12,324 and 18,964

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Solution

The third proportional to 12,324 and 18,964 is: 29,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 18,964 = 18,964 : x
  2. Step 2: Convert to fraction form
    12,324/18,964 = 18,964/x
  3. Step 3: Cross multiply
    12,324x = 18,964 × 18,964
  4. Step 4: Simplify right side
    12,324x = 359,633,296
  5. Step 5: Solve for x
    x = 359,633,296/12,324
  6. Step 6: Final answer
    x = 29,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.