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Finding the Third Proportional to 886.78 and 1,325.53

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Solution

The third proportional to 886.78 and 1,325.53 is: 1,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.78 : 1,325.53 = 1,325.53 : x
  2. Step 2: Convert to fraction form
    886.78/1,325.53 = 1,325.53/x
  3. Step 3: Cross multiply
    886.78x = 1,325.53 × 1,325.53
  4. Step 4: Simplify right side
    886.78x = 1,757,033.09
  5. Step 5: Solve for x
    x = 1,757,033.09/886.78
  6. Step 6: Final answer
    x = 1,981.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.