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Finding the Third Proportional to 2,025.84 and 2,458.69

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Solution

The third proportional to 2,025.84 and 2,458.69 is: 2,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.84 : 2,458.69 = 2,458.69 : x
  2. Step 2: Convert to fraction form
    2,025.84/2,458.69 = 2,458.69/x
  3. Step 3: Cross multiply
    2,025.84x = 2,458.69 × 2,458.69
  4. Step 4: Simplify right side
    2,025.84x = 6,045,144.22
  5. Step 5: Solve for x
    x = 6,045,144.22/2,025.84
  6. Step 6: Final answer
    x = 2,984.01

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.