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Finding the Third Proportional to 4,948.50 and 10,558.50

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Solution

The third proportional to 4,948.50 and 10,558.50 is: 22,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.50 : 10,558.50 = 10,558.50 : x
  2. Step 2: Convert to fraction form
    4,948.50/10,558.50 = 10,558.50/x
  3. Step 3: Cross multiply
    4,948.50x = 10,558.50 × 10,558.50
  4. Step 4: Simplify right side
    4,948.50x = 111,481,922.25
  5. Step 5: Solve for x
    x = 111,481,922.25/4,948.50
  6. Step 6: Final answer
    x = 22,528.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.