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Finding the Third Proportional to 10,104.38 and 20,830.88

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Solution

The third proportional to 10,104.38 and 20,830.88 is: 42,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.38 : 20,830.88 = 20,830.88 : x
  2. Step 2: Convert to fraction form
    10,104.38/20,830.88 = 20,830.88/x
  3. Step 3: Cross multiply
    10,104.38x = 20,830.88 × 20,830.88
  4. Step 4: Simplify right side
    10,104.38x = 433,925,353.27
  5. Step 5: Solve for x
    x = 433,925,353.27/10,104.38
  6. Step 6: Final answer
    x = 42,944.30

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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.