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Finding the Third Proportional to 16,109.75 and 34,987

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Solution

The third proportional to 16,109.75 and 34,987 is: 75,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.75 : 34,987 = 34,987 : x
  2. Step 2: Convert to fraction form
    16,109.75/34,987 = 34,987/x
  3. Step 3: Cross multiply
    16,109.75x = 34,987 × 34,987
  4. Step 4: Simplify right side
    16,109.75x = 1,224,090,169
  5. Step 5: Solve for x
    x = 1,224,090,169/16,109.75
  6. Step 6: Final answer
    x = 75,984.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.