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Finding the Third Proportional to 15,681 and 33,918

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Solution

The third proportional to 15,681 and 33,918 is: 73,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681 : 33,918 = 33,918 : x
  2. Step 2: Convert to fraction form
    15,681/33,918 = 33,918/x
  3. Step 3: Cross multiply
    15,681x = 33,918 × 33,918
  4. Step 4: Simplify right side
    15,681x = 1,150,430,724
  5. Step 5: Solve for x
    x = 1,150,430,724/15,681
  6. Step 6: Final answer
    x = 73,364.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.