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Finding the Third Proportional to 25,182 and 34,803

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Solution

The third proportional to 25,182 and 34,803 is: 48,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 34,803 = 34,803 : x
  2. Step 2: Convert to fraction form
    25,182/34,803 = 34,803/x
  3. Step 3: Cross multiply
    25,182x = 34,803 × 34,803
  4. Step 4: Simplify right side
    25,182x = 1,211,248,809
  5. Step 5: Solve for x
    x = 1,211,248,809/25,182
  6. Step 6: Final answer
    x = 48,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.