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Finding the Third Proportional to 1,829.78 and 4,068.98

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Solution

The third proportional to 1,829.78 and 4,068.98 is: 9,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.78 : 4,068.98 = 4,068.98 : x
  2. Step 2: Convert to fraction form
    1,829.78/4,068.98 = 4,068.98/x
  3. Step 3: Cross multiply
    1,829.78x = 4,068.98 × 4,068.98
  4. Step 4: Simplify right side
    1,829.78x = 16,556,633.84
  5. Step 5: Solve for x
    x = 16,556,633.84/1,829.78
  6. Step 6: Final answer
    x = 9,048.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.