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Finding the Third Proportional to 5,053.50 and 10,356.75

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Solution

The third proportional to 5,053.50 and 10,356.75 is: 21,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.50 : 10,356.75 = 10,356.75 : x
  2. Step 2: Convert to fraction form
    5,053.50/10,356.75 = 10,356.75/x
  3. Step 3: Cross multiply
    5,053.50x = 10,356.75 × 10,356.75
  4. Step 4: Simplify right side
    5,053.50x = 107,262,270.56
  5. Step 5: Solve for x
    x = 107,262,270.56/5,053.50
  6. Step 6: Final answer
    x = 21,225.34

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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.