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Finding the Third Proportional to 10,640.25 and 16,108.50

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Solution

The third proportional to 10,640.25 and 16,108.50 is: 24,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.25 : 16,108.50 = 16,108.50 : x
  2. Step 2: Convert to fraction form
    10,640.25/16,108.50 = 16,108.50/x
  3. Step 3: Cross multiply
    10,640.25x = 16,108.50 × 16,108.50
  4. Step 4: Simplify right side
    10,640.25x = 259,483,772.25
  5. Step 5: Solve for x
    x = 259,483,772.25/10,640.25
  6. Step 6: Final answer
    x = 24,387.00

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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.