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Finding the Third Proportional to 9,591.86 and 20,823.96

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Solution

The third proportional to 9,591.86 and 20,823.96 is: 45,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.86 : 20,823.96 = 20,823.96 : x
  2. Step 2: Convert to fraction form
    9,591.86/20,823.96 = 20,823.96/x
  3. Step 3: Cross multiply
    9,591.86x = 20,823.96 × 20,823.96
  4. Step 4: Simplify right side
    9,591.86x = 433,637,349.13
  5. Step 5: Solve for x
    x = 433,637,349.13/9,591.86
  6. Step 6: Final answer
    x = 45,208.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.