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Finding the Third Proportional to 10,094 and 15,693

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Solution

The third proportional to 10,094 and 15,693 is: 24,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094 : 15,693 = 15,693 : x
  2. Step 2: Convert to fraction form
    10,094/15,693 = 15,693/x
  3. Step 3: Cross multiply
    10,094x = 15,693 × 15,693
  4. Step 4: Simplify right side
    10,094x = 246,270,249
  5. Step 5: Solve for x
    x = 246,270,249/10,094
  6. Step 6: Final answer
    x = 24,397.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.