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Finding the Third Proportional to 3,164.25 and 4,784.63

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Solution

The third proportional to 3,164.25 and 4,784.63 is: 7,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.25 : 4,784.63 = 4,784.63 : x
  2. Step 2: Convert to fraction form
    3,164.25/4,784.63 = 4,784.63/x
  3. Step 3: Cross multiply
    3,164.25x = 4,784.63 × 4,784.63
  4. Step 4: Simplify right side
    3,164.25x = 22,892,636.39
  5. Step 5: Solve for x
    x = 22,892,636.39/3,164.25
  6. Step 6: Final answer
    x = 7,234.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.