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Finding the Third Proportional to 20,223.75 and 43,374.75

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Solution

The third proportional to 20,223.75 and 43,374.75 is: 93,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223.75 : 43,374.75 = 43,374.75 : x
  2. Step 2: Convert to fraction form
    20,223.75/43,374.75 = 43,374.75/x
  3. Step 3: Cross multiply
    20,223.75x = 43,374.75 × 43,374.75
  4. Step 4: Simplify right side
    20,223.75x = 1,881,368,937.56
  5. Step 5: Solve for x
    x = 1,881,368,937.56/20,223.75
  6. Step 6: Final answer
    x = 93,027.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.