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Finding the Third Proportional to 4,852.50 and 6,867.38

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Solution

The third proportional to 4,852.50 and 6,867.38 is: 9,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.50 : 6,867.38 = 6,867.38 : x
  2. Step 2: Convert to fraction form
    4,852.50/6,867.38 = 6,867.38/x
  3. Step 3: Cross multiply
    4,852.50x = 6,867.38 × 6,867.38
  4. Step 4: Simplify right side
    4,852.50x = 47,160,839.39
  5. Step 5: Solve for x
    x = 47,160,839.39/4,852.50
  6. Step 6: Final answer
    x = 9,718.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.