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Finding the Third Proportional to 20,094 and 29,418

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Solution

The third proportional to 20,094 and 29,418 is: 43,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094 : 29,418 = 29,418 : x
  2. Step 2: Convert to fraction form
    20,094/29,418 = 29,418/x
  3. Step 3: Cross multiply
    20,094x = 29,418 × 29,418
  4. Step 4: Simplify right side
    20,094x = 865,418,724
  5. Step 5: Solve for x
    x = 865,418,724/20,094
  6. Step 6: Final answer
    x = 43,068.51

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Why These Related Problems?

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