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Finding the Third Proportional to 9,708.19 and 20,035.69

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Solution

The third proportional to 9,708.19 and 20,035.69 is: 41,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.19 : 20,035.69 = 20,035.69 : x
  2. Step 2: Convert to fraction form
    9,708.19/20,035.69 = 20,035.69/x
  3. Step 3: Cross multiply
    9,708.19x = 20,035.69 × 20,035.69
  4. Step 4: Simplify right side
    9,708.19x = 401,428,773.60
  5. Step 5: Solve for x
    x = 401,428,773.60/9,708.19
  6. Step 6: Final answer
    x = 41,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.