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Finding the Third Proportional to 1,401.05 and 1,823.92

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Solution

The third proportional to 1,401.05 and 1,823.92 is: 2,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.05 : 1,823.92 = 1,823.92 : x
  2. Step 2: Convert to fraction form
    1,401.05/1,823.92 = 1,823.92/x
  3. Step 3: Cross multiply
    1,401.05x = 1,823.92 × 1,823.92
  4. Step 4: Simplify right side
    1,401.05x = 3,326,698.13
  5. Step 5: Solve for x
    x = 3,326,698.13/1,401.05
  6. Step 6: Final answer
    x = 2,374.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.