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Finding the Third Proportional to 19,226 and 29,200

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Solution

The third proportional to 19,226 and 29,200 is: 44,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 29,200 = 29,200 : x
  2. Step 2: Convert to fraction form
    19,226/29,200 = 29,200/x
  3. Step 3: Cross multiply
    19,226x = 29,200 × 29,200
  4. Step 4: Simplify right side
    19,226x = 852,640,000
  5. Step 5: Solve for x
    x = 852,640,000/19,226
  6. Step 6: Final answer
    x = 44,348.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.