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Finding the Third Proportional to 25,969.50 and 39,200.63

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Solution

The third proportional to 25,969.50 and 39,200.63 is: 59,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969.50 : 39,200.63 = 39,200.63 : x
  2. Step 2: Convert to fraction form
    25,969.50/39,200.63 = 39,200.63/x
  3. Step 3: Cross multiply
    25,969.50x = 39,200.63 × 39,200.63
  4. Step 4: Simplify right side
    25,969.50x = 1,536,689,000.39
  5. Step 5: Solve for x
    x = 1,536,689,000.39/25,969.50
  6. Step 6: Final answer
    x = 59,172.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.