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Finding the Third Proportional to 32,767 and 49,033

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Solution

The third proportional to 32,767 and 49,033 is: 73,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767 : 49,033 = 49,033 : x
  2. Step 2: Convert to fraction form
    32,767/49,033 = 49,033/x
  3. Step 3: Cross multiply
    32,767x = 49,033 × 49,033
  4. Step 4: Simplify right side
    32,767x = 2,404,235,089
  5. Step 5: Solve for x
    x = 2,404,235,089/32,767
  6. Step 6: Final answer
    x = 73,373.67

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