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Finding the Third Proportional to 2,490 and 2,826

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Solution

The third proportional to 2,490 and 2,826 is: 3,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490 : 2,826 = 2,826 : x
  2. Step 2: Convert to fraction form
    2,490/2,826 = 2,826/x
  3. Step 3: Cross multiply
    2,490x = 2,826 × 2,826
  4. Step 4: Simplify right side
    2,490x = 7,986,276
  5. Step 5: Solve for x
    x = 7,986,276/2,490
  6. Step 6: Final answer
    x = 3,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.