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Finding the Third Proportional to 11,615 and 15,606.75

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Solution

The third proportional to 11,615 and 15,606.75 is: 20,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615 : 15,606.75 = 15,606.75 : x
  2. Step 2: Convert to fraction form
    11,615/15,606.75 = 15,606.75/x
  3. Step 3: Cross multiply
    11,615x = 15,606.75 × 15,606.75
  4. Step 4: Simplify right side
    11,615x = 243,570,645.56
  5. Step 5: Solve for x
    x = 243,570,645.56/11,615
  6. Step 6: Final answer
    x = 20,970.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.