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Finding the Third Proportional to 907.70 and 1,924.38

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Solution

The third proportional to 907.70 and 1,924.38 is: 4,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.70 : 1,924.38 = 1,924.38 : x
  2. Step 2: Convert to fraction form
    907.70/1,924.38 = 1,924.38/x
  3. Step 3: Cross multiply
    907.70x = 1,924.38 × 1,924.38
  4. Step 4: Simplify right side
    907.70x = 3,703,249.80
  5. Step 5: Solve for x
    x = 3,703,249.80/907.70
  6. Step 6: Final answer
    x = 4,079.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.