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Finding the Third Proportional to 9,852.75 and 22,785.75

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Solution

The third proportional to 9,852.75 and 22,785.75 is: 52,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.75 : 22,785.75 = 22,785.75 : x
  2. Step 2: Convert to fraction form
    9,852.75/22,785.75 = 22,785.75/x
  3. Step 3: Cross multiply
    9,852.75x = 22,785.75 × 22,785.75
  4. Step 4: Simplify right side
    9,852.75x = 519,190,403.06
  5. Step 5: Solve for x
    x = 519,190,403.06/9,852.75
  6. Step 6: Final answer
    x = 52,694.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.