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Finding the Third Proportional to 852.75 and 1,471.50

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Solution

The third proportional to 852.75 and 1,471.50 is: 2,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.75 : 1,471.50 = 1,471.50 : x
  2. Step 2: Convert to fraction form
    852.75/1,471.50 = 1,471.50/x
  3. Step 3: Cross multiply
    852.75x = 1,471.50 × 1,471.50
  4. Step 4: Simplify right side
    852.75x = 2,165,312.25
  5. Step 5: Solve for x
    x = 2,165,312.25/852.75
  6. Step 6: Final answer
    x = 2,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.