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Finding the Third Proportional to 12,114 and 24,894

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Solution

The third proportional to 12,114 and 24,894 is: 51,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114 : 24,894 = 24,894 : x
  2. Step 2: Convert to fraction form
    12,114/24,894 = 24,894/x
  3. Step 3: Cross multiply
    12,114x = 24,894 × 24,894
  4. Step 4: Simplify right side
    12,114x = 619,711,236
  5. Step 5: Solve for x
    x = 619,711,236/12,114
  6. Step 6: Final answer
    x = 51,156.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.