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Finding the Third Proportional to 3,234.56 and 4,877.06

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Solution

The third proportional to 3,234.56 and 4,877.06 is: 7,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.56 : 4,877.06 = 4,877.06 : x
  2. Step 2: Convert to fraction form
    3,234.56/4,877.06 = 4,877.06/x
  3. Step 3: Cross multiply
    3,234.56x = 4,877.06 × 4,877.06
  4. Step 4: Simplify right side
    3,234.56x = 23,785,738.63
  5. Step 5: Solve for x
    x = 23,785,738.63/3,234.56
  6. Step 6: Final answer
    x = 7,353.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.