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Finding the Third Proportional to 750.38 and 2,021.06

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Solution

The third proportional to 750.38 and 2,021.06 is: 5,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.38 : 2,021.06 = 2,021.06 : x
  2. Step 2: Convert to fraction form
    750.38/2,021.06 = 2,021.06/x
  3. Step 3: Cross multiply
    750.38x = 2,021.06 × 2,021.06
  4. Step 4: Simplify right side
    750.38x = 4,084,693.63
  5. Step 5: Solve for x
    x = 4,084,693.63/750.38
  6. Step 6: Final answer
    x = 5,443.54

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.