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Finding the Third Proportional to 6,602.50 and 10,025.50

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Solution

The third proportional to 6,602.50 and 10,025.50 is: 15,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.50 : 10,025.50 = 10,025.50 : x
  2. Step 2: Convert to fraction form
    6,602.50/10,025.50 = 10,025.50/x
  3. Step 3: Cross multiply
    6,602.50x = 10,025.50 × 10,025.50
  4. Step 4: Simplify right side
    6,602.50x = 100,510,650.25
  5. Step 5: Solve for x
    x = 100,510,650.25/6,602.50
  6. Step 6: Final answer
    x = 15,223.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.