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Finding the Third Proportional to 7,077 and 11,041.50

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Solution

The third proportional to 7,077 and 11,041.50 is: 17,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 11,041.50 = 11,041.50 : x
  2. Step 2: Convert to fraction form
    7,077/11,041.50 = 11,041.50/x
  3. Step 3: Cross multiply
    7,077x = 11,041.50 × 11,041.50
  4. Step 4: Simplify right side
    7,077x = 121,914,722.25
  5. Step 5: Solve for x
    x = 121,914,722.25/7,077
  6. Step 6: Final answer
    x = 17,226.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.