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Finding the Third Proportional to 10,474 and 18,842

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Solution

The third proportional to 10,474 and 18,842 is: 33,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474 : 18,842 = 18,842 : x
  2. Step 2: Convert to fraction form
    10,474/18,842 = 18,842/x
  3. Step 3: Cross multiply
    10,474x = 18,842 × 18,842
  4. Step 4: Simplify right side
    10,474x = 355,020,964
  5. Step 5: Solve for x
    x = 355,020,964/10,474
  6. Step 6: Final answer
    x = 33,895.45

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.