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Finding the Third Proportional to 40,907 and 44,219

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Solution

The third proportional to 40,907 and 44,219 is: 47,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 44,219 = 44,219 : x
  2. Step 2: Convert to fraction form
    40,907/44,219 = 44,219/x
  3. Step 3: Cross multiply
    40,907x = 44,219 × 44,219
  4. Step 4: Simplify right side
    40,907x = 1,955,319,961
  5. Step 5: Solve for x
    x = 1,955,319,961/40,907
  6. Step 6: Final answer
    x = 47,799.15

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.