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Finding the Third Proportional to 27,253 and 58,807

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Solution

The third proportional to 27,253 and 58,807 is: 126,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,253 : 58,807 = 58,807 : x
  2. Step 2: Convert to fraction form
    27,253/58,807 = 58,807/x
  3. Step 3: Cross multiply
    27,253x = 58,807 × 58,807
  4. Step 4: Simplify right side
    27,253x = 3,458,263,249
  5. Step 5: Solve for x
    x = 3,458,263,249/27,253
  6. Step 6: Final answer
    x = 126,894.77

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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.