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Finding the Third Proportional to 4,155 and 6,682.50

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Solution

The third proportional to 4,155 and 6,682.50 is: 10,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155 : 6,682.50 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    4,155/6,682.50 = 6,682.50/x
  3. Step 3: Cross multiply
    4,155x = 6,682.50 × 6,682.50
  4. Step 4: Simplify right side
    4,155x = 44,655,806.25
  5. Step 5: Solve for x
    x = 44,655,806.25/4,155
  6. Step 6: Final answer
    x = 10,747.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.