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Finding the Third Proportional to 10,090 and 22,093

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Solution

The third proportional to 10,090 and 22,093 is: 48,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 22,093 = 22,093 : x
  2. Step 2: Convert to fraction form
    10,090/22,093 = 22,093/x
  3. Step 3: Cross multiply
    10,090x = 22,093 × 22,093
  4. Step 4: Simplify right side
    10,090x = 488,100,649
  5. Step 5: Solve for x
    x = 488,100,649/10,090
  6. Step 6: Final answer
    x = 48,374.69

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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.