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Finding the Third Proportional to 3,289.04 and 4,895.12

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Solution

The third proportional to 3,289.04 and 4,895.12 is: 7,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.04 : 4,895.12 = 4,895.12 : x
  2. Step 2: Convert to fraction form
    3,289.04/4,895.12 = 4,895.12/x
  3. Step 3: Cross multiply
    3,289.04x = 4,895.12 × 4,895.12
  4. Step 4: Simplify right side
    3,289.04x = 23,962,210.52
  5. Step 5: Solve for x
    x = 23,962,210.52/3,289.04
  6. Step 6: Final answer
    x = 7,285.47

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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.