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Finding the Third Proportional to 27,348 and 41,820

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Solution

The third proportional to 27,348 and 41,820 is: 63,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348 : 41,820 = 41,820 : x
  2. Step 2: Convert to fraction form
    27,348/41,820 = 41,820/x
  3. Step 3: Cross multiply
    27,348x = 41,820 × 41,820
  4. Step 4: Simplify right side
    27,348x = 1,748,912,400
  5. Step 5: Solve for x
    x = 1,748,912,400/27,348
  6. Step 6: Final answer
    x = 63,950.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.