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Finding the Third Proportional to 3,164.06 and 4,644.84

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Solution

The third proportional to 3,164.06 and 4,644.84 is: 6,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.06 : 4,644.84 = 4,644.84 : x
  2. Step 2: Convert to fraction form
    3,164.06/4,644.84 = 4,644.84/x
  3. Step 3: Cross multiply
    3,164.06x = 4,644.84 × 4,644.84
  4. Step 4: Simplify right side
    3,164.06x = 21,574,573.46
  5. Step 5: Solve for x
    x = 21,574,573.46/3,164.06
  6. Step 6: Final answer
    x = 6,818.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.