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Finding the Third Proportional to 10,114.88 and 20,852.44

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Solution

The third proportional to 10,114.88 and 20,852.44 is: 42,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 20,852.44 = 20,852.44 : x
  2. Step 2: Convert to fraction form
    10,114.88/20,852.44 = 20,852.44/x
  3. Step 3: Cross multiply
    10,114.88x = 20,852.44 × 20,852.44
  4. Step 4: Simplify right side
    10,114.88x = 434,824,149.69
  5. Step 5: Solve for x
    x = 434,824,149.69/10,114.88
  6. Step 6: Final answer
    x = 42,988.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.