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Finding the Third Proportional to 22,842 and 33,405.75

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Solution

The third proportional to 22,842 and 33,405.75 is: 48,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842 : 33,405.75 = 33,405.75 : x
  2. Step 2: Convert to fraction form
    22,842/33,405.75 = 33,405.75/x
  3. Step 3: Cross multiply
    22,842x = 33,405.75 × 33,405.75
  4. Step 4: Simplify right side
    22,842x = 1,115,944,133.06
  5. Step 5: Solve for x
    x = 1,115,944,133.06/22,842
  6. Step 6: Final answer
    x = 48,854.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.