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Finding the Third Proportional to 907.45 and 2,174.13

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Solution

The third proportional to 907.45 and 2,174.13 is: 5,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.45 : 2,174.13 = 2,174.13 : x
  2. Step 2: Convert to fraction form
    907.45/2,174.13 = 2,174.13/x
  3. Step 3: Cross multiply
    907.45x = 2,174.13 × 2,174.13
  4. Step 4: Simplify right side
    907.45x = 4,726,853.49
  5. Step 5: Solve for x
    x = 4,726,853.49/907.45
  6. Step 6: Final answer
    x = 5,208.92

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.