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Finding the Third Proportional to 30,378 and 40,437

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Solution

The third proportional to 30,378 and 40,437 is: 53,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378 : 40,437 = 40,437 : x
  2. Step 2: Convert to fraction form
    30,378/40,437 = 40,437/x
  3. Step 3: Cross multiply
    30,378x = 40,437 × 40,437
  4. Step 4: Simplify right side
    30,378x = 1,635,150,969
  5. Step 5: Solve for x
    x = 1,635,150,969/30,378
  6. Step 6: Final answer
    x = 53,826.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.