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Finding the Third Proportional to 38,956.50 and 85,284

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Solution

The third proportional to 38,956.50 and 85,284 is: 186,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,956.50 : 85,284 = 85,284 : x
  2. Step 2: Convert to fraction form
    38,956.50/85,284 = 85,284/x
  3. Step 3: Cross multiply
    38,956.50x = 85,284 × 85,284
  4. Step 4: Simplify right side
    38,956.50x = 7,273,360,656
  5. Step 5: Solve for x
    x = 7,273,360,656/38,956.50
  6. Step 6: Final answer
    x = 186,704.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.