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Finding the Third Proportional to 5,213 and 7,817

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Solution

The third proportional to 5,213 and 7,817 is: 11,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 7,817 = 7,817 : x
  2. Step 2: Convert to fraction form
    5,213/7,817 = 7,817/x
  3. Step 3: Cross multiply
    5,213x = 7,817 × 7,817
  4. Step 4: Simplify right side
    5,213x = 61,105,489
  5. Step 5: Solve for x
    x = 61,105,489/5,213
  6. Step 6: Final answer
    x = 11,721.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.