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Finding the Third Proportional to 10,795.50 and 18,258.75

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Solution

The third proportional to 10,795.50 and 18,258.75 is: 30,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.50 : 18,258.75 = 18,258.75 : x
  2. Step 2: Convert to fraction form
    10,795.50/18,258.75 = 18,258.75/x
  3. Step 3: Cross multiply
    10,795.50x = 18,258.75 × 18,258.75
  4. Step 4: Simplify right side
    10,795.50x = 333,381,951.56
  5. Step 5: Solve for x
    x = 333,381,951.56/10,795.50
  6. Step 6: Final answer
    x = 30,881.57

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.