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Finding the Third Proportional to 7,686.56 and 16,917.19

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Solution

The third proportional to 7,686.56 and 16,917.19 is: 37,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.56 : 16,917.19 = 16,917.19 : x
  2. Step 2: Convert to fraction form
    7,686.56/16,917.19 = 16,917.19/x
  3. Step 3: Cross multiply
    7,686.56x = 16,917.19 × 16,917.19
  4. Step 4: Simplify right side
    7,686.56x = 286,191,232.91
  5. Step 5: Solve for x
    x = 286,191,232.91/7,686.56
  6. Step 6: Final answer
    x = 37,232.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.