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Finding the Third Proportional to 25,735.50 and 55,037.50

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Solution

The third proportional to 25,735.50 and 55,037.50 is: 117,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.50 : 55,037.50 = 55,037.50 : x
  2. Step 2: Convert to fraction form
    25,735.50/55,037.50 = 55,037.50/x
  3. Step 3: Cross multiply
    25,735.50x = 55,037.50 × 55,037.50
  4. Step 4: Simplify right side
    25,735.50x = 3,029,126,406.25
  5. Step 5: Solve for x
    x = 3,029,126,406.25/25,735.50
  6. Step 6: Final answer
    x = 117,702.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.