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Finding the Third Proportional to 43,224 and 66,678

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Solution

The third proportional to 43,224 and 66,678 is: 102,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,224 : 66,678 = 66,678 : x
  2. Step 2: Convert to fraction form
    43,224/66,678 = 66,678/x
  3. Step 3: Cross multiply
    43,224x = 66,678 × 66,678
  4. Step 4: Simplify right side
    43,224x = 4,445,955,684
  5. Step 5: Solve for x
    x = 4,445,955,684/43,224
  6. Step 6: Final answer
    x = 102,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.