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Finding the Third Proportional to 15,449 and 33,905

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Solution

The third proportional to 15,449 and 33,905 is: 74,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,449 : 33,905 = 33,905 : x
  2. Step 2: Convert to fraction form
    15,449/33,905 = 33,905/x
  3. Step 3: Cross multiply
    15,449x = 33,905 × 33,905
  4. Step 4: Simplify right side
    15,449x = 1,149,549,025
  5. Step 5: Solve for x
    x = 1,149,549,025/15,449
  6. Step 6: Final answer
    x = 74,409.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.