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Finding the Third Proportional to 29,296 and 43,300

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Solution

The third proportional to 29,296 and 43,300 is: 63,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296 : 43,300 = 43,300 : x
  2. Step 2: Convert to fraction form
    29,296/43,300 = 43,300/x
  3. Step 3: Cross multiply
    29,296x = 43,300 × 43,300
  4. Step 4: Simplify right side
    29,296x = 1,874,890,000
  5. Step 5: Solve for x
    x = 1,874,890,000/29,296
  6. Step 6: Final answer
    x = 63,998.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.