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Finding the Third Proportional to 20,442.38 and 30,207.94

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Solution

The third proportional to 20,442.38 and 30,207.94 is: 44,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.38 : 30,207.94 = 30,207.94 : x
  2. Step 2: Convert to fraction form
    20,442.38/30,207.94 = 30,207.94/x
  3. Step 3: Cross multiply
    20,442.38x = 30,207.94 × 30,207.94
  4. Step 4: Simplify right side
    20,442.38x = 912,519,488.00
  5. Step 5: Solve for x
    x = 912,519,488.00/20,442.38
  6. Step 6: Final answer
    x = 44,638.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.