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Finding the Third Proportional to 12,705 and 16,973.25

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Solution

The third proportional to 12,705 and 16,973.25 is: 22,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 16,973.25 = 16,973.25 : x
  2. Step 2: Convert to fraction form
    12,705/16,973.25 = 16,973.25/x
  3. Step 3: Cross multiply
    12,705x = 16,973.25 × 16,973.25
  4. Step 4: Simplify right side
    12,705x = 288,091,215.56
  5. Step 5: Solve for x
    x = 288,091,215.56/12,705
  6. Step 6: Final answer
    x = 22,675.42

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.