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Finding the Third Proportional to 25,089 and 34,171.50

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Solution

The third proportional to 25,089 and 34,171.50 is: 46,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089 : 34,171.50 = 34,171.50 : x
  2. Step 2: Convert to fraction form
    25,089/34,171.50 = 34,171.50/x
  3. Step 3: Cross multiply
    25,089x = 34,171.50 × 34,171.50
  4. Step 4: Simplify right side
    25,089x = 1,167,691,412.25
  5. Step 5: Solve for x
    x = 1,167,691,412.25/25,089
  6. Step 6: Final answer
    x = 46,541.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.