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Finding the Third Proportional to 29,819 and 39,562

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Solution

The third proportional to 29,819 and 39,562 is: 52,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819 : 39,562 = 39,562 : x
  2. Step 2: Convert to fraction form
    29,819/39,562 = 39,562/x
  3. Step 3: Cross multiply
    29,819x = 39,562 × 39,562
  4. Step 4: Simplify right side
    29,819x = 1,565,151,844
  5. Step 5: Solve for x
    x = 1,565,151,844/29,819
  6. Step 6: Final answer
    x = 52,488.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.