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Finding the Third Proportional to 5,068.83 and 10,838.18

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Solution

The third proportional to 5,068.83 and 10,838.18 is: 23,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.83 : 10,838.18 = 10,838.18 : x
  2. Step 2: Convert to fraction form
    5,068.83/10,838.18 = 10,838.18/x
  3. Step 3: Cross multiply
    5,068.83x = 10,838.18 × 10,838.18
  4. Step 4: Simplify right side
    5,068.83x = 117,466,138.94
  5. Step 5: Solve for x
    x = 117,466,138.94/5,068.83
  6. Step 6: Final answer
    x = 23,174.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.