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Finding the Third Proportional to 1,924.88 and 2,752.59

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Solution

The third proportional to 1,924.88 and 2,752.59 is: 3,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.88 : 2,752.59 = 2,752.59 : x
  2. Step 2: Convert to fraction form
    1,924.88/2,752.59 = 2,752.59/x
  3. Step 3: Cross multiply
    1,924.88x = 2,752.59 × 2,752.59
  4. Step 4: Simplify right side
    1,924.88x = 7,576,772.35
  5. Step 5: Solve for x
    x = 7,576,772.35/1,924.88
  6. Step 6: Final answer
    x = 3,936.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.