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Finding the Third Proportional to 4,930.88 and 10,816.03

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Solution

The third proportional to 4,930.88 and 10,816.03 is: 23,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.88 : 10,816.03 = 10,816.03 : x
  2. Step 2: Convert to fraction form
    4,930.88/10,816.03 = 10,816.03/x
  3. Step 3: Cross multiply
    4,930.88x = 10,816.03 × 10,816.03
  4. Step 4: Simplify right side
    4,930.88x = 116,986,532.00
  5. Step 5: Solve for x
    x = 116,986,532.00/4,930.88
  6. Step 6: Final answer
    x = 23,725.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.