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Finding the Third Proportional to 9,568.13 and 20,295.56

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Solution

The third proportional to 9,568.13 and 20,295.56 is: 43,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 20,295.56 = 20,295.56 : x
  2. Step 2: Convert to fraction form
    9,568.13/20,295.56 = 20,295.56/x
  3. Step 3: Cross multiply
    9,568.13x = 20,295.56 × 20,295.56
  4. Step 4: Simplify right side
    9,568.13x = 411,909,857.19
  5. Step 5: Solve for x
    x = 411,909,857.19/9,568.13
  6. Step 6: Final answer
    x = 43,050.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.