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Finding the Third Proportional to 7,662 and 15,813

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Solution

The third proportional to 7,662 and 15,813 is: 32,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662 : 15,813 = 15,813 : x
  2. Step 2: Convert to fraction form
    7,662/15,813 = 15,813/x
  3. Step 3: Cross multiply
    7,662x = 15,813 × 15,813
  4. Step 4: Simplify right side
    7,662x = 250,050,969
  5. Step 5: Solve for x
    x = 250,050,969/7,662
  6. Step 6: Final answer
    x = 32,635.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.