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Finding the Third Proportional to 27,000 and 64,028

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Solution

The third proportional to 27,000 and 64,028 is: 151,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000 : 64,028 = 64,028 : x
  2. Step 2: Convert to fraction form
    27,000/64,028 = 64,028/x
  3. Step 3: Cross multiply
    27,000x = 64,028 × 64,028
  4. Step 4: Simplify right side
    27,000x = 4,099,584,784
  5. Step 5: Solve for x
    x = 4,099,584,784/27,000
  6. Step 6: Final answer
    x = 151,836.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.