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Finding the Third Proportional to 27,799 and 59,820

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Solution

The third proportional to 27,799 and 59,820 is: 128,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799 : 59,820 = 59,820 : x
  2. Step 2: Convert to fraction form
    27,799/59,820 = 59,820/x
  3. Step 3: Cross multiply
    27,799x = 59,820 × 59,820
  4. Step 4: Simplify right side
    27,799x = 3,578,432,400
  5. Step 5: Solve for x
    x = 3,578,432,400/27,799
  6. Step 6: Final answer
    x = 128,725.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.