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Finding the Third Proportional to 4,996.69 and 9,902.25

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Solution

The third proportional to 4,996.69 and 9,902.25 is: 19,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 9,902.25 = 9,902.25 : x
  2. Step 2: Convert to fraction form
    4,996.69/9,902.25 = 9,902.25/x
  3. Step 3: Cross multiply
    4,996.69x = 9,902.25 × 9,902.25
  4. Step 4: Simplify right side
    4,996.69x = 98,054,555.06
  5. Step 5: Solve for x
    x = 98,054,555.06/4,996.69
  6. Step 6: Final answer
    x = 19,623.91

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.