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Finding the Third Proportional to 10,220.34 and 13,804.17

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Solution

The third proportional to 10,220.34 and 13,804.17 is: 18,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.34 : 13,804.17 = 13,804.17 : x
  2. Step 2: Convert to fraction form
    10,220.34/13,804.17 = 13,804.17/x
  3. Step 3: Cross multiply
    10,220.34x = 13,804.17 × 13,804.17
  4. Step 4: Simplify right side
    10,220.34x = 190,555,161.15
  5. Step 5: Solve for x
    x = 190,555,161.15/10,220.34
  6. Step 6: Final answer
    x = 18,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.