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Finding the Third Proportional to 30,546 and 44,424

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Solution

The third proportional to 30,546 and 44,424 is: 64,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 44,424 = 44,424 : x
  2. Step 2: Convert to fraction form
    30,546/44,424 = 44,424/x
  3. Step 3: Cross multiply
    30,546x = 44,424 × 44,424
  4. Step 4: Simplify right side
    30,546x = 1,973,491,776
  5. Step 5: Solve for x
    x = 1,973,491,776/30,546
  6. Step 6: Final answer
    x = 64,607.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.