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Finding the Third Proportional to 12,182.25 and 26,445

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Solution

The third proportional to 12,182.25 and 26,445 is: 57,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.25 : 26,445 = 26,445 : x
  2. Step 2: Convert to fraction form
    12,182.25/26,445 = 26,445/x
  3. Step 3: Cross multiply
    12,182.25x = 26,445 × 26,445
  4. Step 4: Simplify right side
    12,182.25x = 699,338,025
  5. Step 5: Solve for x
    x = 699,338,025/12,182.25
  6. Step 6: Final answer
    x = 57,406.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.