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Finding the Third Proportional to 27,988 and 57,272

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Solution

The third proportional to 27,988 and 57,272 is: 117,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988 : 57,272 = 57,272 : x
  2. Step 2: Convert to fraction form
    27,988/57,272 = 57,272/x
  3. Step 3: Cross multiply
    27,988x = 57,272 × 57,272
  4. Step 4: Simplify right side
    27,988x = 3,280,081,984
  5. Step 5: Solve for x
    x = 3,280,081,984/27,988
  6. Step 6: Final answer
    x = 117,196.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.