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Finding the Third Proportional to 10,773.25 and 16,614.25

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Solution

The third proportional to 10,773.25 and 16,614.25 is: 25,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.25 : 16,614.25 = 16,614.25 : x
  2. Step 2: Convert to fraction form
    10,773.25/16,614.25 = 16,614.25/x
  3. Step 3: Cross multiply
    10,773.25x = 16,614.25 × 16,614.25
  4. Step 4: Simplify right side
    10,773.25x = 276,033,303.06
  5. Step 5: Solve for x
    x = 276,033,303.06/10,773.25
  6. Step 6: Final answer
    x = 25,622.10

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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.