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Finding the Third Proportional to 12,170.88 and 26,574.33

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Solution

The third proportional to 12,170.88 and 26,574.33 is: 58,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.88 : 26,574.33 = 26,574.33 : x
  2. Step 2: Convert to fraction form
    12,170.88/26,574.33 = 26,574.33/x
  3. Step 3: Cross multiply
    12,170.88x = 26,574.33 × 26,574.33
  4. Step 4: Simplify right side
    12,170.88x = 706,194,915.30
  5. Step 5: Solve for x
    x = 706,194,915.30/12,170.88
  6. Step 6: Final answer
    x = 58,023.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.