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Finding the Third Proportional to 43,807 and 66,577

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Solution

The third proportional to 43,807 and 66,577 is: 101,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807 : 66,577 = 66,577 : x
  2. Step 2: Convert to fraction form
    43,807/66,577 = 66,577/x
  3. Step 3: Cross multiply
    43,807x = 66,577 × 66,577
  4. Step 4: Simplify right side
    43,807x = 4,432,496,929
  5. Step 5: Solve for x
    x = 4,432,496,929/43,807
  6. Step 6: Final answer
    x = 101,182.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.