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Finding the Third Proportional to 10,704 and 17,047

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Solution

The third proportional to 10,704 and 17,047 is: 27,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704 : 17,047 = 17,047 : x
  2. Step 2: Convert to fraction form
    10,704/17,047 = 17,047/x
  3. Step 3: Cross multiply
    10,704x = 17,047 × 17,047
  4. Step 4: Simplify right side
    10,704x = 290,600,209
  5. Step 5: Solve for x
    x = 290,600,209/10,704
  6. Step 6: Final answer
    x = 27,148.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.