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Finding the Third Proportional to 2,821.50 and 4,253.63

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Solution

The third proportional to 2,821.50 and 4,253.63 is: 6,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.50 : 4,253.63 = 4,253.63 : x
  2. Step 2: Convert to fraction form
    2,821.50/4,253.63 = 4,253.63/x
  3. Step 3: Cross multiply
    2,821.50x = 4,253.63 × 4,253.63
  4. Step 4: Simplify right side
    2,821.50x = 18,093,325.64
  5. Step 5: Solve for x
    x = 18,093,325.64/2,821.50
  6. Step 6: Final answer
    x = 6,412.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.