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Finding the Third Proportional to 34,056 and 52,668

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Solution

The third proportional to 34,056 and 52,668 is: 81,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056 : 52,668 = 52,668 : x
  2. Step 2: Convert to fraction form
    34,056/52,668 = 52,668/x
  3. Step 3: Cross multiply
    34,056x = 52,668 × 52,668
  4. Step 4: Simplify right side
    34,056x = 2,773,918,224
  5. Step 5: Solve for x
    x = 2,773,918,224/34,056
  6. Step 6: Final answer
    x = 81,451.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.