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Finding the Third Proportional to 27,434 and 64,103

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Solution

The third proportional to 27,434 and 64,103 is: 149,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434 : 64,103 = 64,103 : x
  2. Step 2: Convert to fraction form
    27,434/64,103 = 64,103/x
  3. Step 3: Cross multiply
    27,434x = 64,103 × 64,103
  4. Step 4: Simplify right side
    27,434x = 4,109,194,609
  5. Step 5: Solve for x
    x = 4,109,194,609/27,434
  6. Step 6: Final answer
    x = 149,784.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.