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Finding the Third Proportional to 910.22 and 1,939.59

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Solution

The third proportional to 910.22 and 1,939.59 is: 4,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.22 : 1,939.59 = 1,939.59 : x
  2. Step 2: Convert to fraction form
    910.22/1,939.59 = 1,939.59/x
  3. Step 3: Cross multiply
    910.22x = 1,939.59 × 1,939.59
  4. Step 4: Simplify right side
    910.22x = 3,762,023.92
  5. Step 5: Solve for x
    x = 3,762,023.92/910.22
  6. Step 6: Final answer
    x = 4,133.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.