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Finding the Third Proportional to 10,011 and 15,355.69

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Solution

The third proportional to 10,011 and 15,355.69 is: 23,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011 : 15,355.69 = 15,355.69 : x
  2. Step 2: Convert to fraction form
    10,011/15,355.69 = 15,355.69/x
  3. Step 3: Cross multiply
    10,011x = 15,355.69 × 15,355.69
  4. Step 4: Simplify right side
    10,011x = 235,797,138.60
  5. Step 5: Solve for x
    x = 235,797,138.60/10,011
  6. Step 6: Final answer
    x = 23,553.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.