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Finding the Third Proportional to 14,904 and 15,975

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Solution

The third proportional to 14,904 and 15,975 is: 17,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904 : 15,975 = 15,975 : x
  2. Step 2: Convert to fraction form
    14,904/15,975 = 15,975/x
  3. Step 3: Cross multiply
    14,904x = 15,975 × 15,975
  4. Step 4: Simplify right side
    14,904x = 255,200,625
  5. Step 5: Solve for x
    x = 255,200,625/14,904
  6. Step 6: Final answer
    x = 17,122.96

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.