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Finding the Third Proportional to 3,929.77 and 8,423.37

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Solution

The third proportional to 3,929.77 and 8,423.37 is: 18,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.77 : 8,423.37 = 8,423.37 : x
  2. Step 2: Convert to fraction form
    3,929.77/8,423.37 = 8,423.37/x
  3. Step 3: Cross multiply
    3,929.77x = 8,423.37 × 8,423.37
  4. Step 4: Simplify right side
    3,929.77x = 70,953,114.78
  5. Step 5: Solve for x
    x = 70,953,114.78/3,929.77
  6. Step 6: Final answer
    x = 18,055.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.