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Finding the Third Proportional to 3,929.63 and 8,471.63

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Solution

The third proportional to 3,929.63 and 8,471.63 is: 18,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.63 : 8,471.63 = 8,471.63 : x
  2. Step 2: Convert to fraction form
    3,929.63/8,471.63 = 8,471.63/x
  3. Step 3: Cross multiply
    3,929.63x = 8,471.63 × 8,471.63
  4. Step 4: Simplify right side
    3,929.63x = 71,768,430.14
  5. Step 5: Solve for x
    x = 71,768,430.14/3,929.63
  6. Step 6: Final answer
    x = 18,263.43

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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.