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Finding the Third Proportional to 27,024 and 58,368

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Solution

The third proportional to 27,024 and 58,368 is: 126,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 58,368 = 58,368 : x
  2. Step 2: Convert to fraction form
    27,024/58,368 = 58,368/x
  3. Step 3: Cross multiply
    27,024x = 58,368 × 58,368
  4. Step 4: Simplify right side
    27,024x = 3,406,823,424
  5. Step 5: Solve for x
    x = 3,406,823,424/27,024
  6. Step 6: Final answer
    x = 126,066.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.