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Finding the Third Proportional to 27,700 and 59,286

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Solution

The third proportional to 27,700 and 59,286 is: 126,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700 : 59,286 = 59,286 : x
  2. Step 2: Convert to fraction form
    27,700/59,286 = 59,286/x
  3. Step 3: Cross multiply
    27,700x = 59,286 × 59,286
  4. Step 4: Simplify right side
    27,700x = 3,514,829,796
  5. Step 5: Solve for x
    x = 3,514,829,796/27,700
  6. Step 6: Final answer
    x = 126,889.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.