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Finding the Third Proportional to 5,605 and 12,197

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Solution

The third proportional to 5,605 and 12,197 is: 26,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 12,197 = 12,197 : x
  2. Step 2: Convert to fraction form
    5,605/12,197 = 12,197/x
  3. Step 3: Cross multiply
    5,605x = 12,197 × 12,197
  4. Step 4: Simplify right side
    5,605x = 148,766,809
  5. Step 5: Solve for x
    x = 148,766,809/5,605
  6. Step 6: Final answer
    x = 26,541.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.