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Finding the Third Proportional to 6,477 and 15,526

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Solution

The third proportional to 6,477 and 15,526 is: 37,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 15,526 = 15,526 : x
  2. Step 2: Convert to fraction form
    6,477/15,526 = 15,526/x
  3. Step 3: Cross multiply
    6,477x = 15,526 × 15,526
  4. Step 4: Simplify right side
    6,477x = 241,056,676
  5. Step 5: Solve for x
    x = 241,056,676/6,477
  6. Step 6: Final answer
    x = 37,217.33

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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.