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Finding the Third Proportional to 29,554 and 65,668

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Solution

The third proportional to 29,554 and 65,668 is: 145,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554 : 65,668 = 65,668 : x
  2. Step 2: Convert to fraction form
    29,554/65,668 = 65,668/x
  3. Step 3: Cross multiply
    29,554x = 65,668 × 65,668
  4. Step 4: Simplify right side
    29,554x = 4,312,286,224
  5. Step 5: Solve for x
    x = 4,312,286,224/29,554
  6. Step 6: Final answer
    x = 145,912.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.