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Finding the Third Proportional to 3,051.74 and 4,121.51

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Solution

The third proportional to 3,051.74 and 4,121.51 is: 5,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.74 : 4,121.51 = 4,121.51 : x
  2. Step 2: Convert to fraction form
    3,051.74/4,121.51 = 4,121.51/x
  3. Step 3: Cross multiply
    3,051.74x = 4,121.51 × 4,121.51
  4. Step 4: Simplify right side
    3,051.74x = 16,986,826.65
  5. Step 5: Solve for x
    x = 16,986,826.65/3,051.74
  6. Step 6: Final answer
    x = 5,566.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.