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Finding the Third Proportional to 27,784 and 58,832

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Solution

The third proportional to 27,784 and 58,832 is: 124,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 58,832 = 58,832 : x
  2. Step 2: Convert to fraction form
    27,784/58,832 = 58,832/x
  3. Step 3: Cross multiply
    27,784x = 58,832 × 58,832
  4. Step 4: Simplify right side
    27,784x = 3,461,204,224
  5. Step 5: Solve for x
    x = 3,461,204,224/27,784
  6. Step 6: Final answer
    x = 124,575.45

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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.