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Finding the Third Proportional to 10,494 and 11,970

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Solution

The third proportional to 10,494 and 11,970 is: 13,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 11,970 = 11,970 : x
  2. Step 2: Convert to fraction form
    10,494/11,970 = 11,970/x
  3. Step 3: Cross multiply
    10,494x = 11,970 × 11,970
  4. Step 4: Simplify right side
    10,494x = 143,280,900
  5. Step 5: Solve for x
    x = 143,280,900/10,494
  6. Step 6: Final answer
    x = 13,653.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.