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Finding the Third Proportional to 907.31 and 1,632.38

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Solution

The third proportional to 907.31 and 1,632.38 is: 2,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 1,632.38 = 1,632.38 : x
  2. Step 2: Convert to fraction form
    907.31/1,632.38 = 1,632.38/x
  3. Step 3: Cross multiply
    907.31x = 1,632.38 × 1,632.38
  4. Step 4: Simplify right side
    907.31x = 2,664,648.14
  5. Step 5: Solve for x
    x = 2,664,648.14/907.31
  6. Step 6: Final answer
    x = 2,936.86

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.