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Finding the Third Proportional to 15,183 and 32,564.25

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Solution

The third proportional to 15,183 and 32,564.25 is: 69,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183 : 32,564.25 = 32,564.25 : x
  2. Step 2: Convert to fraction form
    15,183/32,564.25 = 32,564.25/x
  3. Step 3: Cross multiply
    15,183x = 32,564.25 × 32,564.25
  4. Step 4: Simplify right side
    15,183x = 1,060,430,378.06
  5. Step 5: Solve for x
    x = 1,060,430,378.06/15,183
  6. Step 6: Final answer
    x = 69,843.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.