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Finding the Third Proportional to 26,011.50 and 55,972.50

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Solution

The third proportional to 26,011.50 and 55,972.50 is: 120,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011.50 : 55,972.50 = 55,972.50 : x
  2. Step 2: Convert to fraction form
    26,011.50/55,972.50 = 55,972.50/x
  3. Step 3: Cross multiply
    26,011.50x = 55,972.50 × 55,972.50
  4. Step 4: Simplify right side
    26,011.50x = 3,132,920,756.25
  5. Step 5: Solve for x
    x = 3,132,920,756.25/26,011.50
  6. Step 6: Final answer
    x = 120,443.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.