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Finding the Third Proportional to 27,523.13 and 60,297.75

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Solution

The third proportional to 27,523.13 and 60,297.75 is: 132,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.13 : 60,297.75 = 60,297.75 : x
  2. Step 2: Convert to fraction form
    27,523.13/60,297.75 = 60,297.75/x
  3. Step 3: Cross multiply
    27,523.13x = 60,297.75 × 60,297.75
  4. Step 4: Simplify right side
    27,523.13x = 3,635,818,655.06
  5. Step 5: Solve for x
    x = 3,635,818,655.06/27,523.13
  6. Step 6: Final answer
    x = 132,100.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.