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Finding the Third Proportional to 22,746 and 33,375.75

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Solution

The third proportional to 22,746 and 33,375.75 is: 48,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746 : 33,375.75 = 33,375.75 : x
  2. Step 2: Convert to fraction form
    22,746/33,375.75 = 33,375.75/x
  3. Step 3: Cross multiply
    22,746x = 33,375.75 × 33,375.75
  4. Step 4: Simplify right side
    22,746x = 1,113,940,688.06
  5. Step 5: Solve for x
    x = 1,113,940,688.06/22,746
  6. Step 6: Final answer
    x = 48,973.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.