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Finding the Third Proportional to 2,448.98 and 5,113.76

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Solution

The third proportional to 2,448.98 and 5,113.76 is: 10,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.98 : 5,113.76 = 5,113.76 : x
  2. Step 2: Convert to fraction form
    2,448.98/5,113.76 = 5,113.76/x
  3. Step 3: Cross multiply
    2,448.98x = 5,113.76 × 5,113.76
  4. Step 4: Simplify right side
    2,448.98x = 26,150,518.96
  5. Step 5: Solve for x
    x = 26,150,518.96/2,448.98
  6. Step 6: Final answer
    x = 10,678.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.