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Finding the Third Proportional to 4,886 and 6,785

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Solution

The third proportional to 4,886 and 6,785 is: 9,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886 : 6,785 = 6,785 : x
  2. Step 2: Convert to fraction form
    4,886/6,785 = 6,785/x
  3. Step 3: Cross multiply
    4,886x = 6,785 × 6,785
  4. Step 4: Simplify right side
    4,886x = 46,036,225
  5. Step 5: Solve for x
    x = 46,036,225/4,886
  6. Step 6: Final answer
    x = 9,422.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.