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Finding the Third Proportional to 4,956 and 10,728.75

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Solution

The third proportional to 4,956 and 10,728.75 is: 23,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956 : 10,728.75 = 10,728.75 : x
  2. Step 2: Convert to fraction form
    4,956/10,728.75 = 10,728.75/x
  3. Step 3: Cross multiply
    4,956x = 10,728.75 × 10,728.75
  4. Step 4: Simplify right side
    4,956x = 115,106,076.56
  5. Step 5: Solve for x
    x = 115,106,076.56/4,956
  6. Step 6: Final answer
    x = 23,225.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.