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Finding the Third Proportional to 27,799 and 64,301

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Solution

The third proportional to 27,799 and 64,301 is: 148,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,799 : 64,301 = 64,301 : x
  2. Step 2: Convert to fraction form
    27,799/64,301 = 64,301/x
  3. Step 3: Cross multiply
    27,799x = 64,301 × 64,301
  4. Step 4: Simplify right side
    27,799x = 4,134,618,601
  5. Step 5: Solve for x
    x = 4,134,618,601/27,799
  6. Step 6: Final answer
    x = 148,732.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.