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Finding the Third Proportional to 19,679 and 28,786

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Solution

The third proportional to 19,679 and 28,786 is: 42,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679 : 28,786 = 28,786 : x
  2. Step 2: Convert to fraction form
    19,679/28,786 = 28,786/x
  3. Step 3: Cross multiply
    19,679x = 28,786 × 28,786
  4. Step 4: Simplify right side
    19,679x = 828,633,796
  5. Step 5: Solve for x
    x = 828,633,796/19,679
  6. Step 6: Final answer
    x = 42,107.52

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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.