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Finding the Third Proportional to 29,943 and 45,825

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Solution

The third proportional to 29,943 and 45,825 is: 70,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,943 : 45,825 = 45,825 : x
  2. Step 2: Convert to fraction form
    29,943/45,825 = 45,825/x
  3. Step 3: Cross multiply
    29,943x = 45,825 × 45,825
  4. Step 4: Simplify right side
    29,943x = 2,099,930,625
  5. Step 5: Solve for x
    x = 2,099,930,625/29,943
  6. Step 6: Final answer
    x = 70,130.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.