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Finding the Third Proportional to 27,730 and 59,611

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Solution

The third proportional to 27,730 and 59,611 is: 128,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 59,611 = 59,611 : x
  2. Step 2: Convert to fraction form
    27,730/59,611 = 59,611/x
  3. Step 3: Cross multiply
    27,730x = 59,611 × 59,611
  4. Step 4: Simplify right side
    27,730x = 3,553,471,321
  5. Step 5: Solve for x
    x = 3,553,471,321/27,730
  6. Step 6: Final answer
    x = 128,145.38

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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.