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Finding the Third Proportional to 27,024 and 57,248

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Solution

The third proportional to 27,024 and 57,248 is: 121,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 57,248 = 57,248 : x
  2. Step 2: Convert to fraction form
    27,024/57,248 = 57,248/x
  3. Step 3: Cross multiply
    27,024x = 57,248 × 57,248
  4. Step 4: Simplify right side
    27,024x = 3,277,333,504
  5. Step 5: Solve for x
    x = 3,277,333,504/27,024
  6. Step 6: Final answer
    x = 121,274.92

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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.