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Finding the Third Proportional to 2,085 and 2,343

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Solution

The third proportional to 2,085 and 2,343 is: 2,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085 : 2,343 = 2,343 : x
  2. Step 2: Convert to fraction form
    2,085/2,343 = 2,343/x
  3. Step 3: Cross multiply
    2,085x = 2,343 × 2,343
  4. Step 4: Simplify right side
    2,085x = 5,489,649
  5. Step 5: Solve for x
    x = 5,489,649/2,085
  6. Step 6: Final answer
    x = 2,632.93

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.