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Finding the Third Proportional to 20,752 and 48,832

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Solution

The third proportional to 20,752 and 48,832 is: 114,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752 : 48,832 = 48,832 : x
  2. Step 2: Convert to fraction form
    20,752/48,832 = 48,832/x
  3. Step 3: Cross multiply
    20,752x = 48,832 × 48,832
  4. Step 4: Simplify right side
    20,752x = 2,384,564,224
  5. Step 5: Solve for x
    x = 2,384,564,224/20,752
  6. Step 6: Final answer
    x = 114,907.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.