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Finding the Third Proportional to 27,426 and 59,811

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Solution

The third proportional to 27,426 and 59,811 is: 130,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426 : 59,811 = 59,811 : x
  2. Step 2: Convert to fraction form
    27,426/59,811 = 59,811/x
  3. Step 3: Cross multiply
    27,426x = 59,811 × 59,811
  4. Step 4: Simplify right side
    27,426x = 3,577,355,721
  5. Step 5: Solve for x
    x = 3,577,355,721/27,426
  6. Step 6: Final answer
    x = 130,436.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.