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Finding the Third Proportional to 11,583 and 18,015.75

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Solution

The third proportional to 11,583 and 18,015.75 is: 28,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 18,015.75 = 18,015.75 : x
  2. Step 2: Convert to fraction form
    11,583/18,015.75 = 18,015.75/x
  3. Step 3: Cross multiply
    11,583x = 18,015.75 × 18,015.75
  4. Step 4: Simplify right side
    11,583x = 324,567,248.06
  5. Step 5: Solve for x
    x = 324,567,248.06/11,583
  6. Step 6: Final answer
    x = 28,021.00

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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.