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Finding the Third Proportional to 11,090.50 and 24,027.25

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Solution

The third proportional to 11,090.50 and 24,027.25 is: 52,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.50 : 24,027.25 = 24,027.25 : x
  2. Step 2: Convert to fraction form
    11,090.50/24,027.25 = 24,027.25/x
  3. Step 3: Cross multiply
    11,090.50x = 24,027.25 × 24,027.25
  4. Step 4: Simplify right side
    11,090.50x = 577,308,742.56
  5. Step 5: Solve for x
    x = 577,308,742.56/11,090.50
  6. Step 6: Final answer
    x = 52,054.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.