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Finding the Third Proportional to 19,824 and 28,968

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Solution

The third proportional to 19,824 and 28,968 is: 42,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 28,968 = 28,968 : x
  2. Step 2: Convert to fraction form
    19,824/28,968 = 28,968/x
  3. Step 3: Cross multiply
    19,824x = 28,968 × 28,968
  4. Step 4: Simplify right side
    19,824x = 839,145,024
  5. Step 5: Solve for x
    x = 839,145,024/19,824
  6. Step 6: Final answer
    x = 42,329.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.