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Finding the Third Proportional to 29,014 and 44,653

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Solution

The third proportional to 29,014 and 44,653 is: 68,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014 : 44,653 = 44,653 : x
  2. Step 2: Convert to fraction form
    29,014/44,653 = 44,653/x
  3. Step 3: Cross multiply
    29,014x = 44,653 × 44,653
  4. Step 4: Simplify right side
    29,014x = 1,993,890,409
  5. Step 5: Solve for x
    x = 1,993,890,409/29,014
  6. Step 6: Final answer
    x = 68,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.