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Finding the Third Proportional to 2,112.75 and 4,890.90

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Solution

The third proportional to 2,112.75 and 4,890.90 is: 11,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.75 : 4,890.90 = 4,890.90 : x
  2. Step 2: Convert to fraction form
    2,112.75/4,890.90 = 4,890.90/x
  3. Step 3: Cross multiply
    2,112.75x = 4,890.90 × 4,890.90
  4. Step 4: Simplify right side
    2,112.75x = 23,920,925.74
  5. Step 5: Solve for x
    x = 23,920,925.74/2,112.75
  6. Step 6: Final answer
    x = 11,322.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.