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Finding the Third Proportional to 21,378.94 and 46,448.44

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Solution

The third proportional to 21,378.94 and 46,448.44 is: 100,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.94 : 46,448.44 = 46,448.44 : x
  2. Step 2: Convert to fraction form
    21,378.94/46,448.44 = 46,448.44/x
  3. Step 3: Cross multiply
    21,378.94x = 46,448.44 × 46,448.44
  4. Step 4: Simplify right side
    21,378.94x = 2,157,457,346.19
  5. Step 5: Solve for x
    x = 2,157,457,346.19/21,378.94
  6. Step 6: Final answer
    x = 100,915.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.