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Finding the Third Proportional to 2,854 and 6,176

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Solution

The third proportional to 2,854 and 6,176 is: 13,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854 : 6,176 = 6,176 : x
  2. Step 2: Convert to fraction form
    2,854/6,176 = 6,176/x
  3. Step 3: Cross multiply
    2,854x = 6,176 × 6,176
  4. Step 4: Simplify right side
    2,854x = 38,142,976
  5. Step 5: Solve for x
    x = 38,142,976/2,854
  6. Step 6: Final answer
    x = 13,364.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.