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Finding the Third Proportional to 28,926 and 32,004

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Solution

The third proportional to 28,926 and 32,004 is: 35,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,926 : 32,004 = 32,004 : x
  2. Step 2: Convert to fraction form
    28,926/32,004 = 32,004/x
  3. Step 3: Cross multiply
    28,926x = 32,004 × 32,004
  4. Step 4: Simplify right side
    28,926x = 1,024,256,016
  5. Step 5: Solve for x
    x = 1,024,256,016/28,926
  6. Step 6: Final answer
    x = 35,409.53

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.