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Finding the Third Proportional to 4,829.63 and 10,494.56

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Solution

The third proportional to 4,829.63 and 10,494.56 is: 22,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.63 : 10,494.56 = 10,494.56 : x
  2. Step 2: Convert to fraction form
    4,829.63/10,494.56 = 10,494.56/x
  3. Step 3: Cross multiply
    4,829.63x = 10,494.56 × 10,494.56
  4. Step 4: Simplify right side
    4,829.63x = 110,135,842.07
  5. Step 5: Solve for x
    x = 110,135,842.07/4,829.63
  6. Step 6: Final answer
    x = 22,804.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.