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Finding the Third Proportional to 2,398.02 and 5,652.83

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Solution

The third proportional to 2,398.02 and 5,652.83 is: 13,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.02 : 5,652.83 = 5,652.83 : x
  2. Step 2: Convert to fraction form
    2,398.02/5,652.83 = 5,652.83/x
  3. Step 3: Cross multiply
    2,398.02x = 5,652.83 × 5,652.83
  4. Step 4: Simplify right side
    2,398.02x = 31,954,543.10
  5. Step 5: Solve for x
    x = 31,954,543.10/2,398.02
  6. Step 6: Final answer
    x = 13,325.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.