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Finding the Third Proportional to 903.97 and 1,923.01

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Solution

The third proportional to 903.97 and 1,923.01 is: 4,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.97 : 1,923.01 = 1,923.01 : x
  2. Step 2: Convert to fraction form
    903.97/1,923.01 = 1,923.01/x
  3. Step 3: Cross multiply
    903.97x = 1,923.01 × 1,923.01
  4. Step 4: Simplify right side
    903.97x = 3,697,974.07
  5. Step 5: Solve for x
    x = 3,697,974.07/903.97
  6. Step 6: Final answer
    x = 4,090.80

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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.