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Finding the Third Proportional to 10,756.13 and 16,453.13

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Solution

The third proportional to 10,756.13 and 16,453.13 is: 25,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.13 : 16,453.13 = 16,453.13 : x
  2. Step 2: Convert to fraction form
    10,756.13/16,453.13 = 16,453.13/x
  3. Step 3: Cross multiply
    10,756.13x = 16,453.13 × 16,453.13
  4. Step 4: Simplify right side
    10,756.13x = 270,705,322.27
  5. Step 5: Solve for x
    x = 270,705,322.27/10,756.13
  6. Step 6: Final answer
    x = 25,167.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.