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Finding the Third Proportional to 29,362 and 44,185

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Solution

The third proportional to 29,362 and 44,185 is: 66,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362 : 44,185 = 44,185 : x
  2. Step 2: Convert to fraction form
    29,362/44,185 = 44,185/x
  3. Step 3: Cross multiply
    29,362x = 44,185 × 44,185
  4. Step 4: Simplify right side
    29,362x = 1,952,314,225
  5. Step 5: Solve for x
    x = 1,952,314,225/29,362
  6. Step 6: Final answer
    x = 66,491.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.