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Finding the Third Proportional to 30,185 and 39,441

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Solution

The third proportional to 30,185 and 39,441 is: 51,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185 : 39,441 = 39,441 : x
  2. Step 2: Convert to fraction form
    30,185/39,441 = 39,441/x
  3. Step 3: Cross multiply
    30,185x = 39,441 × 39,441
  4. Step 4: Simplify right side
    30,185x = 1,555,592,481
  5. Step 5: Solve for x
    x = 1,555,592,481/30,185
  6. Step 6: Final answer
    x = 51,535.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.