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Finding the Third Proportional to 2,389 and 4,826

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Solution

The third proportional to 2,389 and 4,826 is: 9,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389 : 4,826 = 4,826 : x
  2. Step 2: Convert to fraction form
    2,389/4,826 = 4,826/x
  3. Step 3: Cross multiply
    2,389x = 4,826 × 4,826
  4. Step 4: Simplify right side
    2,389x = 23,290,276
  5. Step 5: Solve for x
    x = 23,290,276/2,389
  6. Step 6: Final answer
    x = 9,748.96

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.