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Finding the Third Proportional to 4,674.94 and 10,230.19

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Solution

The third proportional to 4,674.94 and 10,230.19 is: 22,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.94 : 10,230.19 = 10,230.19 : x
  2. Step 2: Convert to fraction form
    4,674.94/10,230.19 = 10,230.19/x
  3. Step 3: Cross multiply
    4,674.94x = 10,230.19 × 10,230.19
  4. Step 4: Simplify right side
    4,674.94x = 104,656,736.29
  5. Step 5: Solve for x
    x = 104,656,736.29/4,674.94
  6. Step 6: Final answer
    x = 22,386.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.