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Finding the Third Proportional to 9,677.75 and 13,628.75

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Solution

The third proportional to 9,677.75 and 13,628.75 is: 19,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.75 : 13,628.75 = 13,628.75 : x
  2. Step 2: Convert to fraction form
    9,677.75/13,628.75 = 13,628.75/x
  3. Step 3: Cross multiply
    9,677.75x = 13,628.75 × 13,628.75
  4. Step 4: Simplify right side
    9,677.75x = 185,742,826.56
  5. Step 5: Solve for x
    x = 185,742,826.56/9,677.75
  6. Step 6: Final answer
    x = 19,192.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.