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Finding the Third Proportional to 7,783.17 and 11,682.56

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Solution

The third proportional to 7,783.17 and 11,682.56 is: 17,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.17 : 11,682.56 = 11,682.56 : x
  2. Step 2: Convert to fraction form
    7,783.17/11,682.56 = 11,682.56/x
  3. Step 3: Cross multiply
    7,783.17x = 11,682.56 × 11,682.56
  4. Step 4: Simplify right side
    7,783.17x = 136,482,266.57
  5. Step 5: Solve for x
    x = 136,482,266.57/7,783.17
  6. Step 6: Final answer
    x = 17,535.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.