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Finding the Third Proportional to 9,938.32 and 20,337.96

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Solution

The third proportional to 9,938.32 and 20,337.96 is: 41,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.32 : 20,337.96 = 20,337.96 : x
  2. Step 2: Convert to fraction form
    9,938.32/20,337.96 = 20,337.96/x
  3. Step 3: Cross multiply
    9,938.32x = 20,337.96 × 20,337.96
  4. Step 4: Simplify right side
    9,938.32x = 413,632,655.10
  5. Step 5: Solve for x
    x = 413,632,655.10/9,938.32
  6. Step 6: Final answer
    x = 41,619.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.