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Finding the Third Proportional to 8,094 and 17,464

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Solution

The third proportional to 8,094 and 17,464 is: 37,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094 : 17,464 = 17,464 : x
  2. Step 2: Convert to fraction form
    8,094/17,464 = 17,464/x
  3. Step 3: Cross multiply
    8,094x = 17,464 × 17,464
  4. Step 4: Simplify right side
    8,094x = 304,991,296
  5. Step 5: Solve for x
    x = 304,991,296/8,094
  6. Step 6: Final answer
    x = 37,681.16

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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.