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Finding the Third Proportional to 28,037 and 41,653

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Solution

The third proportional to 28,037 and 41,653 is: 61,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,037 : 41,653 = 41,653 : x
  2. Step 2: Convert to fraction form
    28,037/41,653 = 41,653/x
  3. Step 3: Cross multiply
    28,037x = 41,653 × 41,653
  4. Step 4: Simplify right side
    28,037x = 1,734,972,409
  5. Step 5: Solve for x
    x = 1,734,972,409/28,037
  6. Step 6: Final answer
    x = 61,881.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.