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Finding the Third Proportional to 3,461.06 and 8,125.59

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Solution

The third proportional to 3,461.06 and 8,125.59 is: 19,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.06 : 8,125.59 = 8,125.59 : x
  2. Step 2: Convert to fraction form
    3,461.06/8,125.59 = 8,125.59/x
  3. Step 3: Cross multiply
    3,461.06x = 8,125.59 × 8,125.59
  4. Step 4: Simplify right side
    3,461.06x = 66,025,273.79
  5. Step 5: Solve for x
    x = 66,025,273.79/3,461.06
  6. Step 6: Final answer
    x = 19,076.59

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.