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Finding the Third Proportional to 27,282 and 43,260

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Solution

The third proportional to 27,282 and 43,260 is: 68,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 43,260 = 43,260 : x
  2. Step 2: Convert to fraction form
    27,282/43,260 = 43,260/x
  3. Step 3: Cross multiply
    27,282x = 43,260 × 43,260
  4. Step 4: Simplify right side
    27,282x = 1,871,427,600
  5. Step 5: Solve for x
    x = 1,871,427,600/27,282
  6. Step 6: Final answer
    x = 68,595.69

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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.