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Finding the Third Proportional to 2,078.79 and 4,490.75

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Solution

The third proportional to 2,078.79 and 4,490.75 is: 9,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.79 : 4,490.75 = 4,490.75 : x
  2. Step 2: Convert to fraction form
    2,078.79/4,490.75 = 4,490.75/x
  3. Step 3: Cross multiply
    2,078.79x = 4,490.75 × 4,490.75
  4. Step 4: Simplify right side
    2,078.79x = 20,166,870.65
  5. Step 5: Solve for x
    x = 20,166,870.65/2,078.79
  6. Step 6: Final answer
    x = 9,701.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.