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Finding the Third Proportional to 27,243 and 42,201

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Solution

The third proportional to 27,243 and 42,201 is: 65,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 42,201 = 42,201 : x
  2. Step 2: Convert to fraction form
    27,243/42,201 = 42,201/x
  3. Step 3: Cross multiply
    27,243x = 42,201 × 42,201
  4. Step 4: Simplify right side
    27,243x = 1,780,924,401
  5. Step 5: Solve for x
    x = 1,780,924,401/27,243
  6. Step 6: Final answer
    x = 65,371.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.