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Finding the Third Proportional to 2,164.04 and 4,674.07

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Solution

The third proportional to 2,164.04 and 4,674.07 is: 10,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.04 : 4,674.07 = 4,674.07 : x
  2. Step 2: Convert to fraction form
    2,164.04/4,674.07 = 4,674.07/x
  3. Step 3: Cross multiply
    2,164.04x = 4,674.07 × 4,674.07
  4. Step 4: Simplify right side
    2,164.04x = 21,846,946.98
  5. Step 5: Solve for x
    x = 21,846,946.98/2,164.04
  6. Step 6: Final answer
    x = 10,095.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.