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Finding the Third Proportional to 27,272 and 57,840

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Solution

The third proportional to 27,272 and 57,840 is: 122,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272 : 57,840 = 57,840 : x
  2. Step 2: Convert to fraction form
    27,272/57,840 = 57,840/x
  3. Step 3: Cross multiply
    27,272x = 57,840 × 57,840
  4. Step 4: Simplify right side
    27,272x = 3,345,465,600
  5. Step 5: Solve for x
    x = 3,345,465,600/27,272
  6. Step 6: Final answer
    x = 122,670.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.