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Finding the Third Proportional to 15,894 and 33,969

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Solution

The third proportional to 15,894 and 33,969 is: 72,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 33,969 = 33,969 : x
  2. Step 2: Convert to fraction form
    15,894/33,969 = 33,969/x
  3. Step 3: Cross multiply
    15,894x = 33,969 × 33,969
  4. Step 4: Simplify right side
    15,894x = 1,153,892,961
  5. Step 5: Solve for x
    x = 1,153,892,961/15,894
  6. Step 6: Final answer
    x = 72,599.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.