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Finding the Third Proportional to 4,929.75 and 7,847.44

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Solution

The third proportional to 4,929.75 and 7,847.44 is: 12,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.75 : 7,847.44 = 7,847.44 : x
  2. Step 2: Convert to fraction form
    4,929.75/7,847.44 = 7,847.44/x
  3. Step 3: Cross multiply
    4,929.75x = 7,847.44 × 7,847.44
  4. Step 4: Simplify right side
    4,929.75x = 61,582,275.32
  5. Step 5: Solve for x
    x = 61,582,275.32/4,929.75
  6. Step 6: Final answer
    x = 12,491.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.