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Finding the Third Proportional to 7,013 and 9,817

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Solution

The third proportional to 7,013 and 9,817 is: 13,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013 : 9,817 = 9,817 : x
  2. Step 2: Convert to fraction form
    7,013/9,817 = 9,817/x
  3. Step 3: Cross multiply
    7,013x = 9,817 × 9,817
  4. Step 4: Simplify right side
    7,013x = 96,373,489
  5. Step 5: Solve for x
    x = 96,373,489/7,013
  6. Step 6: Final answer
    x = 13,742.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.