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Finding the Third Proportional to 5,111.90 and 10,841.74

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Solution

The third proportional to 5,111.90 and 10,841.74 is: 22,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.90 : 10,841.74 = 10,841.74 : x
  2. Step 2: Convert to fraction form
    5,111.90/10,841.74 = 10,841.74/x
  3. Step 3: Cross multiply
    5,111.90x = 10,841.74 × 10,841.74
  4. Step 4: Simplify right side
    5,111.90x = 117,543,310.13
  5. Step 5: Solve for x
    x = 117,543,310.13/5,111.90
  6. Step 6: Final answer
    x = 22,994.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.