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Finding the Third Proportional to 1,488.94 and 2,361.28

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Solution

The third proportional to 1,488.94 and 2,361.28 is: 3,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.94 : 2,361.28 = 2,361.28 : x
  2. Step 2: Convert to fraction form
    1,488.94/2,361.28 = 2,361.28/x
  3. Step 3: Cross multiply
    1,488.94x = 2,361.28 × 2,361.28
  4. Step 4: Simplify right side
    1,488.94x = 5,575,649.14
  5. Step 5: Solve for x
    x = 5,575,649.14/1,488.94
  6. Step 6: Final answer
    x = 3,744.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.