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Finding the Third Proportional to 17,816.75 and 38,669.50

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Solution

The third proportional to 17,816.75 and 38,669.50 is: 83,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.75 : 38,669.50 = 38,669.50 : x
  2. Step 2: Convert to fraction form
    17,816.75/38,669.50 = 38,669.50/x
  3. Step 3: Cross multiply
    17,816.75x = 38,669.50 × 38,669.50
  4. Step 4: Simplify right side
    17,816.75x = 1,495,330,230.25
  5. Step 5: Solve for x
    x = 1,495,330,230.25/17,816.75
  6. Step 6: Final answer
    x = 83,928.34

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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.