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Finding the Third Proportional to 18,412 and 29,200

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Solution

The third proportional to 18,412 and 29,200 is: 46,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412 : 29,200 = 29,200 : x
  2. Step 2: Convert to fraction form
    18,412/29,200 = 29,200/x
  3. Step 3: Cross multiply
    18,412x = 29,200 × 29,200
  4. Step 4: Simplify right side
    18,412x = 852,640,000
  5. Step 5: Solve for x
    x = 852,640,000/18,412
  6. Step 6: Final answer
    x = 46,308.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.