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Finding the Third Proportional to 19,754 and 28,851

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Solution

The third proportional to 19,754 and 28,851 is: 42,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754 : 28,851 = 28,851 : x
  2. Step 2: Convert to fraction form
    19,754/28,851 = 28,851/x
  3. Step 3: Cross multiply
    19,754x = 28,851 × 28,851
  4. Step 4: Simplify right side
    19,754x = 832,380,201
  5. Step 5: Solve for x
    x = 832,380,201/19,754
  6. Step 6: Final answer
    x = 42,137.30

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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.