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Finding the Third Proportional to 25,047 and 33,738

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Solution

The third proportional to 25,047 and 33,738 is: 45,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 33,738 = 33,738 : x
  2. Step 2: Convert to fraction form
    25,047/33,738 = 33,738/x
  3. Step 3: Cross multiply
    25,047x = 33,738 × 33,738
  4. Step 4: Simplify right side
    25,047x = 1,138,252,644
  5. Step 5: Solve for x
    x = 1,138,252,644/25,047
  6. Step 6: Final answer
    x = 45,444.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.