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Finding the Third Proportional to 33,506 and 50,335

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Solution

The third proportional to 33,506 and 50,335 is: 75,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506 : 50,335 = 50,335 : x
  2. Step 2: Convert to fraction form
    33,506/50,335 = 50,335/x
  3. Step 3: Cross multiply
    33,506x = 50,335 × 50,335
  4. Step 4: Simplify right side
    33,506x = 2,533,612,225
  5. Step 5: Solve for x
    x = 2,533,612,225/33,506
  6. Step 6: Final answer
    x = 75,616.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.