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Finding the Third Proportional to 26,122.50 and 58,969.27

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Solution

The third proportional to 26,122.50 and 58,969.27 is: 133,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.50 : 58,969.27 = 58,969.27 : x
  2. Step 2: Convert to fraction form
    26,122.50/58,969.27 = 58,969.27/x
  3. Step 3: Cross multiply
    26,122.50x = 58,969.27 × 58,969.27
  4. Step 4: Simplify right side
    26,122.50x = 3,477,374,288.35
  5. Step 5: Solve for x
    x = 3,477,374,288.35/26,122.50
  6. Step 6: Final answer
    x = 133,117.97

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.