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Finding the Third Proportional to 2,055.75 and 4,440.13

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Solution

The third proportional to 2,055.75 and 4,440.13 is: 9,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.75 : 4,440.13 = 4,440.13 : x
  2. Step 2: Convert to fraction form
    2,055.75/4,440.13 = 4,440.13/x
  3. Step 3: Cross multiply
    2,055.75x = 4,440.13 × 4,440.13
  4. Step 4: Simplify right side
    2,055.75x = 19,714,710.02
  5. Step 5: Solve for x
    x = 19,714,710.02/2,055.75
  6. Step 6: Final answer
    x = 9,590.03

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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.