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Finding the Third Proportional to 852.93 and 1,356.33

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Solution

The third proportional to 852.93 and 1,356.33 is: 2,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.93 : 1,356.33 = 1,356.33 : x
  2. Step 2: Convert to fraction form
    852.93/1,356.33 = 1,356.33/x
  3. Step 3: Cross multiply
    852.93x = 1,356.33 × 1,356.33
  4. Step 4: Simplify right side
    852.93x = 1,839,625.98
  5. Step 5: Solve for x
    x = 1,839,625.98/852.93
  6. Step 6: Final answer
    x = 2,156.84

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Why These Related Problems?

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