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Finding the Third Proportional to 16,825.50 and 26,395.88

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Solution

The third proportional to 16,825.50 and 26,395.88 is: 41,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.50 : 26,395.88 = 26,395.88 : x
  2. Step 2: Convert to fraction form
    16,825.50/26,395.88 = 26,395.88/x
  3. Step 3: Cross multiply
    16,825.50x = 26,395.88 × 26,395.88
  4. Step 4: Simplify right side
    16,825.50x = 696,742,217.02
  5. Step 5: Solve for x
    x = 696,742,217.02/16,825.50
  6. Step 6: Final answer
    x = 41,409.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.