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Finding the Third Proportional to 15,568 and 33,778

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Solution

The third proportional to 15,568 and 33,778 is: 73,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,568 : 33,778 = 33,778 : x
  2. Step 2: Convert to fraction form
    15,568/33,778 = 33,778/x
  3. Step 3: Cross multiply
    15,568x = 33,778 × 33,778
  4. Step 4: Simplify right side
    15,568x = 1,140,953,284
  5. Step 5: Solve for x
    x = 1,140,953,284/15,568
  6. Step 6: Final answer
    x = 73,288.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.