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Finding the Third Proportional to 2,113.88 and 4,967.44

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Solution

The third proportional to 2,113.88 and 4,967.44 is: 11,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.88 : 4,967.44 = 4,967.44 : x
  2. Step 2: Convert to fraction form
    2,113.88/4,967.44 = 4,967.44/x
  3. Step 3: Cross multiply
    2,113.88x = 4,967.44 × 4,967.44
  4. Step 4: Simplify right side
    2,113.88x = 24,675,435.32
  5. Step 5: Solve for x
    x = 24,675,435.32/2,113.88
  6. Step 6: Final answer
    x = 11,673.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.