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Finding the Third Proportional to 29,780 and 39,378

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Solution

The third proportional to 29,780 and 39,378 is: 52,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780 : 39,378 = 39,378 : x
  2. Step 2: Convert to fraction form
    29,780/39,378 = 39,378/x
  3. Step 3: Cross multiply
    29,780x = 39,378 × 39,378
  4. Step 4: Simplify right side
    29,780x = 1,550,626,884
  5. Step 5: Solve for x
    x = 1,550,626,884/29,780
  6. Step 6: Final answer
    x = 52,069.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.