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Finding the Third Proportional to 1,798.88 and 2,762.44

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Solution

The third proportional to 1,798.88 and 2,762.44 is: 4,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.88 : 2,762.44 = 2,762.44 : x
  2. Step 2: Convert to fraction form
    1,798.88/2,762.44 = 2,762.44/x
  3. Step 3: Cross multiply
    1,798.88x = 2,762.44 × 2,762.44
  4. Step 4: Simplify right side
    1,798.88x = 7,631,060.94
  5. Step 5: Solve for x
    x = 7,631,060.94/1,798.88
  6. Step 6: Final answer
    x = 4,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.