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Finding the Third Proportional to 3,970 and 5,840

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Solution

The third proportional to 3,970 and 5,840 is: 8,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970 : 5,840 = 5,840 : x
  2. Step 2: Convert to fraction form
    3,970/5,840 = 5,840/x
  3. Step 3: Cross multiply
    3,970x = 5,840 × 5,840
  4. Step 4: Simplify right side
    3,970x = 34,105,600
  5. Step 5: Solve for x
    x = 34,105,600/3,970
  6. Step 6: Final answer
    x = 8,590.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.