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Finding the Third Proportional to 8,011 and 10,990.50

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Solution

The third proportional to 8,011 and 10,990.50 is: 15,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011 : 10,990.50 = 10,990.50 : x
  2. Step 2: Convert to fraction form
    8,011/10,990.50 = 10,990.50/x
  3. Step 3: Cross multiply
    8,011x = 10,990.50 × 10,990.50
  4. Step 4: Simplify right side
    8,011x = 120,791,090.25
  5. Step 5: Solve for x
    x = 120,791,090.25/8,011
  6. Step 6: Final answer
    x = 15,078.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.