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Finding the Third Proportional to 986.71 and 1,537.73

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Solution

The third proportional to 986.71 and 1,537.73 is: 2,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 1,537.73 = 1,537.73 : x
  2. Step 2: Convert to fraction form
    986.71/1,537.73 = 1,537.73/x
  3. Step 3: Cross multiply
    986.71x = 1,537.73 × 1,537.73
  4. Step 4: Simplify right side
    986.71x = 2,364,627.01
  5. Step 5: Solve for x
    x = 2,364,627.01/986.71
  6. Step 6: Final answer
    x = 2,396.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.