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Finding the Third Proportional to 2,134.99 and 4,690.33

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Solution

The third proportional to 2,134.99 and 4,690.33 is: 10,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.99 : 4,690.33 = 4,690.33 : x
  2. Step 2: Convert to fraction form
    2,134.99/4,690.33 = 4,690.33/x
  3. Step 3: Cross multiply
    2,134.99x = 4,690.33 × 4,690.33
  4. Step 4: Simplify right side
    2,134.99x = 21,999,168.76
  5. Step 5: Solve for x
    x = 21,999,168.76/2,134.99
  6. Step 6: Final answer
    x = 10,304.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.