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Finding the Third Proportional to 2,371 and 5,737

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Solution

The third proportional to 2,371 and 5,737 is: 13,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 5,737 = 5,737 : x
  2. Step 2: Convert to fraction form
    2,371/5,737 = 5,737/x
  3. Step 3: Cross multiply
    2,371x = 5,737 × 5,737
  4. Step 4: Simplify right side
    2,371x = 32,913,169
  5. Step 5: Solve for x
    x = 32,913,169/2,371
  6. Step 6: Final answer
    x = 13,881.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.