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Finding the Third Proportional to 4,102.31 and 8,933.63

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Solution

The third proportional to 4,102.31 and 8,933.63 is: 19,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.31 : 8,933.63 = 8,933.63 : x
  2. Step 2: Convert to fraction form
    4,102.31/8,933.63 = 8,933.63/x
  3. Step 3: Cross multiply
    4,102.31x = 8,933.63 × 8,933.63
  4. Step 4: Simplify right side
    4,102.31x = 79,809,655.64
  5. Step 5: Solve for x
    x = 79,809,655.64/4,102.31
  6. Step 6: Final answer
    x = 19,454.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.