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Finding the Third Proportional to 3,464.65 and 4,848.61

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Solution

The third proportional to 3,464.65 and 4,848.61 is: 6,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.65 : 4,848.61 = 4,848.61 : x
  2. Step 2: Convert to fraction form
    3,464.65/4,848.61 = 4,848.61/x
  3. Step 3: Cross multiply
    3,464.65x = 4,848.61 × 4,848.61
  4. Step 4: Simplify right side
    3,464.65x = 23,509,012.87
  5. Step 5: Solve for x
    x = 23,509,012.87/3,464.65
  6. Step 6: Final answer
    x = 6,785.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.