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Finding the Third Proportional to 27,945 and 60,803.16

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Solution

The third proportional to 27,945 and 60,803.16 is: 132,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 60,803.16 = 60,803.16 : x
  2. Step 2: Convert to fraction form
    27,945/60,803.16 = 60,803.16/x
  3. Step 3: Cross multiply
    27,945x = 60,803.16 × 60,803.16
  4. Step 4: Simplify right side
    27,945x = 3,697,023,809.96
  5. Step 5: Solve for x
    x = 3,697,023,809.96/27,945
  6. Step 6: Final answer
    x = 132,296.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.