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Finding the Third Proportional to 8,029 and 17,608

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Solution

The third proportional to 8,029 and 17,608 is: 38,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 17,608 = 17,608 : x
  2. Step 2: Convert to fraction form
    8,029/17,608 = 17,608/x
  3. Step 3: Cross multiply
    8,029x = 17,608 × 17,608
  4. Step 4: Simplify right side
    8,029x = 310,041,664
  5. Step 5: Solve for x
    x = 310,041,664/8,029
  6. Step 6: Final answer
    x = 38,615.23

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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.