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Finding the Third Proportional to 27,568 and 59,264

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Solution

The third proportional to 27,568 and 59,264 is: 127,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568 : 59,264 = 59,264 : x
  2. Step 2: Convert to fraction form
    27,568/59,264 = 59,264/x
  3. Step 3: Cross multiply
    27,568x = 59,264 × 59,264
  4. Step 4: Simplify right side
    27,568x = 3,512,221,696
  5. Step 5: Solve for x
    x = 3,512,221,696/27,568
  6. Step 6: Final answer
    x = 127,402.12

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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.