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Finding the Third Proportional to 27,398.25 and 42,251.63

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Solution

The third proportional to 27,398.25 and 42,251.63 is: 65,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.25 : 42,251.63 = 42,251.63 : x
  2. Step 2: Convert to fraction form
    27,398.25/42,251.63 = 42,251.63/x
  3. Step 3: Cross multiply
    27,398.25x = 42,251.63 × 42,251.63
  4. Step 4: Simplify right side
    27,398.25x = 1,785,199,815.14
  5. Step 5: Solve for x
    x = 1,785,199,815.14/27,398.25
  6. Step 6: Final answer
    x = 65,157.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.