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Finding the Third Proportional to 20,133.38 and 45,487.13

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Solution

The third proportional to 20,133.38 and 45,487.13 is: 102,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.38 : 45,487.13 = 45,487.13 : x
  2. Step 2: Convert to fraction form
    20,133.38/45,487.13 = 45,487.13/x
  3. Step 3: Cross multiply
    20,133.38x = 45,487.13 × 45,487.13
  4. Step 4: Simplify right side
    20,133.38x = 2,069,078,540.77
  5. Step 5: Solve for x
    x = 2,069,078,540.77/20,133.38
  6. Step 6: Final answer
    x = 102,768.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.