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Finding the Third Proportional to 27,284 and 43,263

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Solution

The third proportional to 27,284 and 43,263 is: 68,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284 : 43,263 = 43,263 : x
  2. Step 2: Convert to fraction form
    27,284/43,263 = 43,263/x
  3. Step 3: Cross multiply
    27,284x = 43,263 × 43,263
  4. Step 4: Simplify right side
    27,284x = 1,871,687,169
  5. Step 5: Solve for x
    x = 1,871,687,169/27,284
  6. Step 6: Final answer
    x = 68,600.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.