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Finding the Third Proportional to 2,324.67 and 4,876.45

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Solution

The third proportional to 2,324.67 and 4,876.45 is: 10,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.67 : 4,876.45 = 4,876.45 : x
  2. Step 2: Convert to fraction form
    2,324.67/4,876.45 = 4,876.45/x
  3. Step 3: Cross multiply
    2,324.67x = 4,876.45 × 4,876.45
  4. Step 4: Simplify right side
    2,324.67x = 23,779,795.08
  5. Step 5: Solve for x
    x = 23,779,795.08/2,324.67
  6. Step 6: Final answer
    x = 10,229.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.