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Finding the Third Proportional to 2,146 and 2,353

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Solution

The third proportional to 2,146 and 2,353 is: 2,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 2,353 = 2,353 : x
  2. Step 2: Convert to fraction form
    2,146/2,353 = 2,353/x
  3. Step 3: Cross multiply
    2,146x = 2,353 × 2,353
  4. Step 4: Simplify right side
    2,146x = 5,536,609
  5. Step 5: Solve for x
    x = 5,536,609/2,146
  6. Step 6: Final answer
    x = 2,579.97

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.