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Finding the Third Proportional to 10,570.69 and 16,253.44

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Solution

The third proportional to 10,570.69 and 16,253.44 is: 24,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.69 : 16,253.44 = 16,253.44 : x
  2. Step 2: Convert to fraction form
    10,570.69/16,253.44 = 16,253.44/x
  3. Step 3: Cross multiply
    10,570.69x = 16,253.44 × 16,253.44
  4. Step 4: Simplify right side
    10,570.69x = 264,174,230.57
  5. Step 5: Solve for x
    x = 264,174,230.57/10,570.69
  6. Step 6: Final answer
    x = 24,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.