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Finding the Third Proportional to 26,869.50 and 59,107.50

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Solution

The third proportional to 26,869.50 and 59,107.50 is: 130,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869.50 : 59,107.50 = 59,107.50 : x
  2. Step 2: Convert to fraction form
    26,869.50/59,107.50 = 59,107.50/x
  3. Step 3: Cross multiply
    26,869.50x = 59,107.50 × 59,107.50
  4. Step 4: Simplify right side
    26,869.50x = 3,493,696,556.25
  5. Step 5: Solve for x
    x = 3,493,696,556.25/26,869.50
  6. Step 6: Final answer
    x = 130,024.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.