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Finding the Third Proportional to 9,703.55 and 20,790.42

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Solution

The third proportional to 9,703.55 and 20,790.42 is: 44,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.55 : 20,790.42 = 20,790.42 : x
  2. Step 2: Convert to fraction form
    9,703.55/20,790.42 = 20,790.42/x
  3. Step 3: Cross multiply
    9,703.55x = 20,790.42 × 20,790.42
  4. Step 4: Simplify right side
    9,703.55x = 432,241,641.74
  5. Step 5: Solve for x
    x = 432,241,641.74/9,703.55
  6. Step 6: Final answer
    x = 44,544.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.