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Finding the Third Proportional to 6,740 and 16,210

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Solution

The third proportional to 6,740 and 16,210 is: 38,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 16,210 = 16,210 : x
  2. Step 2: Convert to fraction form
    6,740/16,210 = 16,210/x
  3. Step 3: Cross multiply
    6,740x = 16,210 × 16,210
  4. Step 4: Simplify right side
    6,740x = 262,764,100
  5. Step 5: Solve for x
    x = 262,764,100/6,740
  6. Step 6: Final answer
    x = 38,985.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.