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Finding the Third Proportional to 10,682.25 and 16,442.25

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Solution

The third proportional to 10,682.25 and 16,442.25 is: 25,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.25 : 16,442.25 = 16,442.25 : x
  2. Step 2: Convert to fraction form
    10,682.25/16,442.25 = 16,442.25/x
  3. Step 3: Cross multiply
    10,682.25x = 16,442.25 × 16,442.25
  4. Step 4: Simplify right side
    10,682.25x = 270,347,585.06
  5. Step 5: Solve for x
    x = 270,347,585.06/10,682.25
  6. Step 6: Final answer
    x = 25,308.11

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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.