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Finding the Third Proportional to 13,700 and 18,210

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Solution

The third proportional to 13,700 and 18,210 is: 24,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700 : 18,210 = 18,210 : x
  2. Step 2: Convert to fraction form
    13,700/18,210 = 18,210/x
  3. Step 3: Cross multiply
    13,700x = 18,210 × 18,210
  4. Step 4: Simplify right side
    13,700x = 331,604,100
  5. Step 5: Solve for x
    x = 331,604,100/13,700
  6. Step 6: Final answer
    x = 24,204.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.