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Finding the Third Proportional to 6,443.30 and 9,604.20

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Solution

The third proportional to 6,443.30 and 9,604.20 is: 14,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.30 : 9,604.20 = 9,604.20 : x
  2. Step 2: Convert to fraction form
    6,443.30/9,604.20 = 9,604.20/x
  3. Step 3: Cross multiply
    6,443.30x = 9,604.20 × 9,604.20
  4. Step 4: Simplify right side
    6,443.30x = 92,240,567.60
  5. Step 5: Solve for x
    x = 92,240,567.60/6,443.30
  6. Step 6: Final answer
    x = 14,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.