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Finding the Third Proportional to 4,903.03 and 10,569.87

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Solution

The third proportional to 4,903.03 and 10,569.87 is: 22,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.03 : 10,569.87 = 10,569.87 : x
  2. Step 2: Convert to fraction form
    4,903.03/10,569.87 = 10,569.87/x
  3. Step 3: Cross multiply
    4,903.03x = 10,569.87 × 10,569.87
  4. Step 4: Simplify right side
    4,903.03x = 111,722,092.36
  5. Step 5: Solve for x
    x = 111,722,092.36/4,903.03
  6. Step 6: Final answer
    x = 22,786.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.