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Finding the Third Proportional to 2,214.84 and 4,676.48

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Solution

The third proportional to 2,214.84 and 4,676.48 is: 9,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.84 : 4,676.48 = 4,676.48 : x
  2. Step 2: Convert to fraction form
    2,214.84/4,676.48 = 4,676.48/x
  3. Step 3: Cross multiply
    2,214.84x = 4,676.48 × 4,676.48
  4. Step 4: Simplify right side
    2,214.84x = 21,869,506.11
  5. Step 5: Solve for x
    x = 21,869,506.11/2,214.84
  6. Step 6: Final answer
    x = 9,874.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.