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Finding the Third Proportional to 17,709 and 38,817

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Solution

The third proportional to 17,709 and 38,817 is: 85,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709 : 38,817 = 38,817 : x
  2. Step 2: Convert to fraction form
    17,709/38,817 = 38,817/x
  3. Step 3: Cross multiply
    17,709x = 38,817 × 38,817
  4. Step 4: Simplify right side
    17,709x = 1,506,759,489
  5. Step 5: Solve for x
    x = 1,506,759,489/17,709
  6. Step 6: Final answer
    x = 85,084.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.