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Finding the Third Proportional to 3,097.30 and 6,594.86

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Solution

The third proportional to 3,097.30 and 6,594.86 is: 14,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.30 : 6,594.86 = 6,594.86 : x
  2. Step 2: Convert to fraction form
    3,097.30/6,594.86 = 6,594.86/x
  3. Step 3: Cross multiply
    3,097.30x = 6,594.86 × 6,594.86
  4. Step 4: Simplify right side
    3,097.30x = 43,492,118.65
  5. Step 5: Solve for x
    x = 43,492,118.65/3,097.30
  6. Step 6: Final answer
    x = 14,041.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.