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Finding the Third Proportional to 4,674.66 and 10,229.06

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Solution

The third proportional to 4,674.66 and 10,229.06 is: 22,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.66 : 10,229.06 = 10,229.06 : x
  2. Step 2: Convert to fraction form
    4,674.66/10,229.06 = 10,229.06/x
  3. Step 3: Cross multiply
    4,674.66x = 10,229.06 × 10,229.06
  4. Step 4: Simplify right side
    4,674.66x = 104,633,719.63
  5. Step 5: Solve for x
    x = 104,633,719.63/4,674.66
  6. Step 6: Final answer
    x = 22,383.19

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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.