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Finding the Third Proportional to 29,454 and 38,223

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Solution

The third proportional to 29,454 and 38,223 is: 49,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454 : 38,223 = 38,223 : x
  2. Step 2: Convert to fraction form
    29,454/38,223 = 38,223/x
  3. Step 3: Cross multiply
    29,454x = 38,223 × 38,223
  4. Step 4: Simplify right side
    29,454x = 1,460,997,729
  5. Step 5: Solve for x
    x = 1,460,997,729/29,454
  6. Step 6: Final answer
    x = 49,602.69

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.