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Finding the Third Proportional to 4,420.99 and 9,474.63

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Solution

The third proportional to 4,420.99 and 9,474.63 is: 20,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420.99 : 9,474.63 = 9,474.63 : x
  2. Step 2: Convert to fraction form
    4,420.99/9,474.63 = 9,474.63/x
  3. Step 3: Cross multiply
    4,420.99x = 9,474.63 × 9,474.63
  4. Step 4: Simplify right side
    4,420.99x = 89,768,555.90
  5. Step 5: Solve for x
    x = 89,768,555.90/4,420.99
  6. Step 6: Final answer
    x = 20,305.10

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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.