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Finding the Third Proportional to 25,191 and 34,089.75

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Solution

The third proportional to 25,191 and 34,089.75 is: 46,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191 : 34,089.75 = 34,089.75 : x
  2. Step 2: Convert to fraction form
    25,191/34,089.75 = 34,089.75/x
  3. Step 3: Cross multiply
    25,191x = 34,089.75 × 34,089.75
  4. Step 4: Simplify right side
    25,191x = 1,162,111,055.06
  5. Step 5: Solve for x
    x = 1,162,111,055.06/25,191
  6. Step 6: Final answer
    x = 46,131.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.