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Finding the Third Proportional to 4,861 and 5,929

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Solution

The third proportional to 4,861 and 5,929 is: 7,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861 : 5,929 = 5,929 : x
  2. Step 2: Convert to fraction form
    4,861/5,929 = 5,929/x
  3. Step 3: Cross multiply
    4,861x = 5,929 × 5,929
  4. Step 4: Simplify right side
    4,861x = 35,153,041
  5. Step 5: Solve for x
    x = 35,153,041/4,861
  6. Step 6: Final answer
    x = 7,231.65

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.