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Finding the Third Proportional to 3,245.91 and 4,641.47

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Solution

The third proportional to 3,245.91 and 4,641.47 is: 6,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.91 : 4,641.47 = 4,641.47 : x
  2. Step 2: Convert to fraction form
    3,245.91/4,641.47 = 4,641.47/x
  3. Step 3: Cross multiply
    3,245.91x = 4,641.47 × 4,641.47
  4. Step 4: Simplify right side
    3,245.91x = 21,543,232.16
  5. Step 5: Solve for x
    x = 21,543,232.16/3,245.91
  6. Step 6: Final answer
    x = 6,637.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.