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Finding the Third Proportional to 27,215.50 and 42,054

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Solution

The third proportional to 27,215.50 and 42,054 is: 64,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.50 : 42,054 = 42,054 : x
  2. Step 2: Convert to fraction form
    27,215.50/42,054 = 42,054/x
  3. Step 3: Cross multiply
    27,215.50x = 42,054 × 42,054
  4. Step 4: Simplify right side
    27,215.50x = 1,768,538,916
  5. Step 5: Solve for x
    x = 1,768,538,916/27,215.50
  6. Step 6: Final answer
    x = 64,982.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.