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Finding the Third Proportional to 47,824 and 73,752

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Solution

The third proportional to 47,824 and 73,752 is: 113,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824 : 73,752 = 73,752 : x
  2. Step 2: Convert to fraction form
    47,824/73,752 = 73,752/x
  3. Step 3: Cross multiply
    47,824x = 73,752 × 73,752
  4. Step 4: Simplify right side
    47,824x = 5,439,357,504
  5. Step 5: Solve for x
    x = 5,439,357,504/47,824
  6. Step 6: Final answer
    x = 113,736.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.