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Finding the Third Proportional to 8,390 and 13,003

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Solution

The third proportional to 8,390 and 13,003 is: 20,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390 : 13,003 = 13,003 : x
  2. Step 2: Convert to fraction form
    8,390/13,003 = 13,003/x
  3. Step 3: Cross multiply
    8,390x = 13,003 × 13,003
  4. Step 4: Simplify right side
    8,390x = 169,078,009
  5. Step 5: Solve for x
    x = 169,078,009/8,390
  6. Step 6: Final answer
    x = 20,152.33

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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.