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Finding the Third Proportional to 1,683.28 and 2,409.47

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Solution

The third proportional to 1,683.28 and 2,409.47 is: 3,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.28 : 2,409.47 = 2,409.47 : x
  2. Step 2: Convert to fraction form
    1,683.28/2,409.47 = 2,409.47/x
  3. Step 3: Cross multiply
    1,683.28x = 2,409.47 × 2,409.47
  4. Step 4: Simplify right side
    1,683.28x = 5,805,539.66
  5. Step 5: Solve for x
    x = 5,805,539.66/1,683.28
  6. Step 6: Final answer
    x = 3,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.