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Finding the Third Proportional to 13,197 and 27,486.50

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Solution

The third proportional to 13,197 and 27,486.50 is: 57,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 27,486.50 = 27,486.50 : x
  2. Step 2: Convert to fraction form
    13,197/27,486.50 = 27,486.50/x
  3. Step 3: Cross multiply
    13,197x = 27,486.50 × 27,486.50
  4. Step 4: Simplify right side
    13,197x = 755,507,682.25
  5. Step 5: Solve for x
    x = 755,507,682.25/13,197
  6. Step 6: Final answer
    x = 57,248.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.