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Finding the Third Proportional to 10,191.66 and 20,671.45

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Solution

The third proportional to 10,191.66 and 20,671.45 is: 41,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.66 : 20,671.45 = 20,671.45 : x
  2. Step 2: Convert to fraction form
    10,191.66/20,671.45 = 20,671.45/x
  3. Step 3: Cross multiply
    10,191.66x = 20,671.45 × 20,671.45
  4. Step 4: Simplify right side
    10,191.66x = 427,308,974.30
  5. Step 5: Solve for x
    x = 427,308,974.30/10,191.66
  6. Step 6: Final answer
    x = 41,927.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.