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Finding the Third Proportional to 2,890 and 6,385

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Solution

The third proportional to 2,890 and 6,385 is: 14,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 6,385 = 6,385 : x
  2. Step 2: Convert to fraction form
    2,890/6,385 = 6,385/x
  3. Step 3: Cross multiply
    2,890x = 6,385 × 6,385
  4. Step 4: Simplify right side
    2,890x = 40,768,225
  5. Step 5: Solve for x
    x = 40,768,225/2,890
  6. Step 6: Final answer
    x = 14,106.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.