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Finding the Third Proportional to 10,809.56 and 13,812.19

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Solution

The third proportional to 10,809.56 and 13,812.19 is: 17,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.56 : 13,812.19 = 13,812.19 : x
  2. Step 2: Convert to fraction form
    10,809.56/13,812.19 = 13,812.19/x
  3. Step 3: Cross multiply
    10,809.56x = 13,812.19 × 13,812.19
  4. Step 4: Simplify right side
    10,809.56x = 190,776,523.54
  5. Step 5: Solve for x
    x = 190,776,523.54/10,809.56
  6. Step 6: Final answer
    x = 17,648.87

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.