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Finding the Third Proportional to 4,690.09 and 10,213.12

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Solution

The third proportional to 4,690.09 and 10,213.12 is: 22,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.09 : 10,213.12 = 10,213.12 : x
  2. Step 2: Convert to fraction form
    4,690.09/10,213.12 = 10,213.12/x
  3. Step 3: Cross multiply
    4,690.09x = 10,213.12 × 10,213.12
  4. Step 4: Simplify right side
    4,690.09x = 104,307,802.58
  5. Step 5: Solve for x
    x = 104,307,802.58/4,690.09
  6. Step 6: Final answer
    x = 22,240.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.