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Finding the Third Proportional to 44,102 and 66,563

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Solution

The third proportional to 44,102 and 66,563 is: 100,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,102 : 66,563 = 66,563 : x
  2. Step 2: Convert to fraction form
    44,102/66,563 = 66,563/x
  3. Step 3: Cross multiply
    44,102x = 66,563 × 66,563
  4. Step 4: Simplify right side
    44,102x = 4,430,632,969
  5. Step 5: Solve for x
    x = 4,430,632,969/44,102
  6. Step 6: Final answer
    x = 100,463.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.