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Finding the Third Proportional to 29,223 and 42,741

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Solution

The third proportional to 29,223 and 42,741 is: 62,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223 : 42,741 = 42,741 : x
  2. Step 2: Convert to fraction form
    29,223/42,741 = 42,741/x
  3. Step 3: Cross multiply
    29,223x = 42,741 × 42,741
  4. Step 4: Simplify right side
    29,223x = 1,826,793,081
  5. Step 5: Solve for x
    x = 1,826,793,081/29,223
  6. Step 6: Final answer
    x = 62,512.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.