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Finding the Third Proportional to 13,873.25 and 21,417.75

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Solution

The third proportional to 13,873.25 and 21,417.75 is: 33,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.25 : 21,417.75 = 21,417.75 : x
  2. Step 2: Convert to fraction form
    13,873.25/21,417.75 = 21,417.75/x
  3. Step 3: Cross multiply
    13,873.25x = 21,417.75 × 21,417.75
  4. Step 4: Simplify right side
    13,873.25x = 458,720,015.06
  5. Step 5: Solve for x
    x = 458,720,015.06/13,873.25
  6. Step 6: Final answer
    x = 33,065.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.