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Finding the Third Proportional to 4,440 and 5,860

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Solution

The third proportional to 4,440 and 5,860 is: 7,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440 : 5,860 = 5,860 : x
  2. Step 2: Convert to fraction form
    4,440/5,860 = 5,860/x
  3. Step 3: Cross multiply
    4,440x = 5,860 × 5,860
  4. Step 4: Simplify right side
    4,440x = 34,339,600
  5. Step 5: Solve for x
    x = 34,339,600/4,440
  6. Step 6: Final answer
    x = 7,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.