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Finding the Third Proportional to 6,522 and 15,677

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Solution

The third proportional to 6,522 and 15,677 is: 37,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 15,677 = 15,677 : x
  2. Step 2: Convert to fraction form
    6,522/15,677 = 15,677/x
  3. Step 3: Cross multiply
    6,522x = 15,677 × 15,677
  4. Step 4: Simplify right side
    6,522x = 245,768,329
  5. Step 5: Solve for x
    x = 245,768,329/6,522
  6. Step 6: Final answer
    x = 37,682.97

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.