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Finding the Third Proportional to 1,657.41 and 2,396.53

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Solution

The third proportional to 1,657.41 and 2,396.53 is: 3,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.41 : 2,396.53 = 2,396.53 : x
  2. Step 2: Convert to fraction form
    1,657.41/2,396.53 = 2,396.53/x
  3. Step 3: Cross multiply
    1,657.41x = 2,396.53 × 2,396.53
  4. Step 4: Simplify right side
    1,657.41x = 5,743,362.03
  5. Step 5: Solve for x
    x = 5,743,362.03/1,657.41
  6. Step 6: Final answer
    x = 3,465.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.