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Finding the Third Proportional to 1,980.07 and 2,980.55

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Solution

The third proportional to 1,980.07 and 2,980.55 is: 4,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.07 : 2,980.55 = 2,980.55 : x
  2. Step 2: Convert to fraction form
    1,980.07/2,980.55 = 2,980.55/x
  3. Step 3: Cross multiply
    1,980.07x = 2,980.55 × 2,980.55
  4. Step 4: Simplify right side
    1,980.07x = 8,883,659.67
  5. Step 5: Solve for x
    x = 8,883,659.67/1,980.07
  6. Step 6: Final answer
    x = 4,486.54

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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.