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Finding the Third Proportional to 2,045.75 and 2,486.75

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Solution

The third proportional to 2,045.75 and 2,486.75 is: 3,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.75 : 2,486.75 = 2,486.75 : x
  2. Step 2: Convert to fraction form
    2,045.75/2,486.75 = 2,486.75/x
  3. Step 3: Cross multiply
    2,045.75x = 2,486.75 × 2,486.75
  4. Step 4: Simplify right side
    2,045.75x = 6,183,925.56
  5. Step 5: Solve for x
    x = 6,183,925.56/2,045.75
  6. Step 6: Final answer
    x = 3,022.82

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.