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Finding the Third Proportional to 1,623.16 and 3,476.99

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Solution

The third proportional to 1,623.16 and 3,476.99 is: 7,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.16 : 3,476.99 = 3,476.99 : x
  2. Step 2: Convert to fraction form
    1,623.16/3,476.99 = 3,476.99/x
  3. Step 3: Cross multiply
    1,623.16x = 3,476.99 × 3,476.99
  4. Step 4: Simplify right side
    1,623.16x = 12,089,447.51
  5. Step 5: Solve for x
    x = 12,089,447.51/1,623.16
  6. Step 6: Final answer
    x = 7,448.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.