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Finding the Third Proportional to 852.61 and 1,863.63

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Solution

The third proportional to 852.61 and 1,863.63 is: 4,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.61 : 1,863.63 = 1,863.63 : x
  2. Step 2: Convert to fraction form
    852.61/1,863.63 = 1,863.63/x
  3. Step 3: Cross multiply
    852.61x = 1,863.63 × 1,863.63
  4. Step 4: Simplify right side
    852.61x = 3,473,127.26
  5. Step 5: Solve for x
    x = 3,473,127.26/852.61
  6. Step 6: Final answer
    x = 4,073.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.