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Finding the Third Proportional to 27,343 and 42,837.25

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Solution

The third proportional to 27,343 and 42,837.25 is: 67,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343 : 42,837.25 = 42,837.25 : x
  2. Step 2: Convert to fraction form
    27,343/42,837.25 = 42,837.25/x
  3. Step 3: Cross multiply
    27,343x = 42,837.25 × 42,837.25
  4. Step 4: Simplify right side
    27,343x = 1,835,029,987.56
  5. Step 5: Solve for x
    x = 1,835,029,987.56/27,343
  6. Step 6: Final answer
    x = 67,111.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.