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Finding the Third Proportional to 4,574 and 6,850

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Solution

The third proportional to 4,574 and 6,850 is: 10,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574 : 6,850 = 6,850 : x
  2. Step 2: Convert to fraction form
    4,574/6,850 = 6,850/x
  3. Step 3: Cross multiply
    4,574x = 6,850 × 6,850
  4. Step 4: Simplify right side
    4,574x = 46,922,500
  5. Step 5: Solve for x
    x = 46,922,500/4,574
  6. Step 6: Final answer
    x = 10,258.53

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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.