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Finding the Third Proportional to 12,990 and 17,352

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Solution

The third proportional to 12,990 and 17,352 is: 23,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990 : 17,352 = 17,352 : x
  2. Step 2: Convert to fraction form
    12,990/17,352 = 17,352/x
  3. Step 3: Cross multiply
    12,990x = 17,352 × 17,352
  4. Step 4: Simplify right side
    12,990x = 301,091,904
  5. Step 5: Solve for x
    x = 301,091,904/12,990
  6. Step 6: Final answer
    x = 23,178.75

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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.