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Finding the Third Proportional to 4,558.50 and 9,356.63

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Solution

The third proportional to 4,558.50 and 9,356.63 is: 19,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.50 : 9,356.63 = 9,356.63 : x
  2. Step 2: Convert to fraction form
    4,558.50/9,356.63 = 9,356.63/x
  3. Step 3: Cross multiply
    4,558.50x = 9,356.63 × 9,356.63
  4. Step 4: Simplify right side
    4,558.50x = 87,546,431.39
  5. Step 5: Solve for x
    x = 87,546,431.39/4,558.50
  6. Step 6: Final answer
    x = 19,205.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.