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Finding the Third Proportional to 4,829.63 and 10,251.56

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Solution

The third proportional to 4,829.63 and 10,251.56 is: 21,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.63 : 10,251.56 = 10,251.56 : x
  2. Step 2: Convert to fraction form
    4,829.63/10,251.56 = 10,251.56/x
  3. Step 3: Cross multiply
    4,829.63x = 10,251.56 × 10,251.56
  4. Step 4: Simplify right side
    4,829.63x = 105,094,533.69
  5. Step 5: Solve for x
    x = 105,094,533.69/4,829.63
  6. Step 6: Final answer
    x = 21,760.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.