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Finding the Third Proportional to 24,828 and 35,820

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Solution

The third proportional to 24,828 and 35,820 is: 51,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 35,820 = 35,820 : x
  2. Step 2: Convert to fraction form
    24,828/35,820 = 35,820/x
  3. Step 3: Cross multiply
    24,828x = 35,820 × 35,820
  4. Step 4: Simplify right side
    24,828x = 1,283,072,400
  5. Step 5: Solve for x
    x = 1,283,072,400/24,828
  6. Step 6: Final answer
    x = 51,678.44

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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.