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Finding the Third Proportional to 29,541 and 44,919

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Solution

The third proportional to 29,541 and 44,919 is: 68,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541 : 44,919 = 44,919 : x
  2. Step 2: Convert to fraction form
    29,541/44,919 = 44,919/x
  3. Step 3: Cross multiply
    29,541x = 44,919 × 44,919
  4. Step 4: Simplify right side
    29,541x = 2,017,716,561
  5. Step 5: Solve for x
    x = 2,017,716,561/29,541
  6. Step 6: Final answer
    x = 68,302.24

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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.