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Finding the Third Proportional to 10,351.50 and 16,402.50

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Solution

The third proportional to 10,351.50 and 16,402.50 is: 25,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.50 : 16,402.50 = 16,402.50 : x
  2. Step 2: Convert to fraction form
    10,351.50/16,402.50 = 16,402.50/x
  3. Step 3: Cross multiply
    10,351.50x = 16,402.50 × 16,402.50
  4. Step 4: Simplify right side
    10,351.50x = 269,042,006.25
  5. Step 5: Solve for x
    x = 269,042,006.25/10,351.50
  6. Step 6: Final answer
    x = 25,990.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.