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Finding the Third Proportional to 23,698.50 and 51,847.50

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Solution

The third proportional to 23,698.50 and 51,847.50 is: 113,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.50 : 51,847.50 = 51,847.50 : x
  2. Step 2: Convert to fraction form
    23,698.50/51,847.50 = 51,847.50/x
  3. Step 3: Cross multiply
    23,698.50x = 51,847.50 × 51,847.50
  4. Step 4: Simplify right side
    23,698.50x = 2,688,163,256.25
  5. Step 5: Solve for x
    x = 2,688,163,256.25/23,698.50
  6. Step 6: Final answer
    x = 113,431.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.