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Finding the Third Proportional to 29,623 and 44,753

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Solution

The third proportional to 29,623 and 44,753 is: 67,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,623 : 44,753 = 44,753 : x
  2. Step 2: Convert to fraction form
    29,623/44,753 = 44,753/x
  3. Step 3: Cross multiply
    29,623x = 44,753 × 44,753
  4. Step 4: Simplify right side
    29,623x = 2,002,831,009
  5. Step 5: Solve for x
    x = 2,002,831,009/29,623
  6. Step 6: Final answer
    x = 67,610.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.