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Finding the Third Proportional to 772.41 and 1,595.91

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Solution

The third proportional to 772.41 and 1,595.91 is: 3,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,595.91 = 1,595.91 : x
  2. Step 2: Convert to fraction form
    772.41/1,595.91 = 1,595.91/x
  3. Step 3: Cross multiply
    772.41x = 1,595.91 × 1,595.91
  4. Step 4: Simplify right side
    772.41x = 2,546,916.76
  5. Step 5: Solve for x
    x = 2,546,916.76/772.41
  6. Step 6: Final answer
    x = 3,297.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.