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Finding the Third Proportional to 4,956.61 and 6,728.48

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Solution

The third proportional to 4,956.61 and 6,728.48 is: 9,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.61 : 6,728.48 = 6,728.48 : x
  2. Step 2: Convert to fraction form
    4,956.61/6,728.48 = 6,728.48/x
  3. Step 3: Cross multiply
    4,956.61x = 6,728.48 × 6,728.48
  4. Step 4: Simplify right side
    4,956.61x = 45,272,501.98
  5. Step 5: Solve for x
    x = 45,272,501.98/4,956.61
  6. Step 6: Final answer
    x = 9,133.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.