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Finding the Third Proportional to 13,567.50 and 25,197.75

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Solution

The third proportional to 13,567.50 and 25,197.75 is: 46,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.50 : 25,197.75 = 25,197.75 : x
  2. Step 2: Convert to fraction form
    13,567.50/25,197.75 = 25,197.75/x
  3. Step 3: Cross multiply
    13,567.50x = 25,197.75 × 25,197.75
  4. Step 4: Simplify right side
    13,567.50x = 634,926,605.06
  5. Step 5: Solve for x
    x = 634,926,605.06/13,567.50
  6. Step 6: Final answer
    x = 46,797.61

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.