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Finding the Third Proportional to 9,451.69 and 22,335.75

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Solution

The third proportional to 9,451.69 and 22,335.75 is: 52,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.69 : 22,335.75 = 22,335.75 : x
  2. Step 2: Convert to fraction form
    9,451.69/22,335.75 = 22,335.75/x
  3. Step 3: Cross multiply
    9,451.69x = 22,335.75 × 22,335.75
  4. Step 4: Simplify right side
    9,451.69x = 498,885,728.06
  5. Step 5: Solve for x
    x = 498,885,728.06/9,451.69
  6. Step 6: Final answer
    x = 52,782.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.