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Finding the Third Proportional to 2,648 and 6,157

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Solution

The third proportional to 2,648 and 6,157 is: 14,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648 : 6,157 = 6,157 : x
  2. Step 2: Convert to fraction form
    2,648/6,157 = 6,157/x
  3. Step 3: Cross multiply
    2,648x = 6,157 × 6,157
  4. Step 4: Simplify right side
    2,648x = 37,908,649
  5. Step 5: Solve for x
    x = 37,908,649/2,648
  6. Step 6: Final answer
    x = 14,315.96

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.