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Finding the Third Proportional to 29,843 and 42,907

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Solution

The third proportional to 29,843 and 42,907 is: 61,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843 : 42,907 = 42,907 : x
  2. Step 2: Convert to fraction form
    29,843/42,907 = 42,907/x
  3. Step 3: Cross multiply
    29,843x = 42,907 × 42,907
  4. Step 4: Simplify right side
    29,843x = 1,841,010,649
  5. Step 5: Solve for x
    x = 1,841,010,649/29,843
  6. Step 6: Final answer
    x = 61,689.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.