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Finding the Third Proportional to 2,421 and 5,778

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Solution

The third proportional to 2,421 and 5,778 is: 13,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421 : 5,778 = 5,778 : x
  2. Step 2: Convert to fraction form
    2,421/5,778 = 5,778/x
  3. Step 3: Cross multiply
    2,421x = 5,778 × 5,778
  4. Step 4: Simplify right side
    2,421x = 33,385,284
  5. Step 5: Solve for x
    x = 33,385,284/2,421
  6. Step 6: Final answer
    x = 13,789.87

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.