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Finding the Third Proportional to 23,672.25 and 51,035.06

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Solution

The third proportional to 23,672.25 and 51,035.06 is: 110,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.25 : 51,035.06 = 51,035.06 : x
  2. Step 2: Convert to fraction form
    23,672.25/51,035.06 = 51,035.06/x
  3. Step 3: Cross multiply
    23,672.25x = 51,035.06 × 51,035.06
  4. Step 4: Simplify right side
    23,672.25x = 2,604,577,604.38
  5. Step 5: Solve for x
    x = 2,604,577,604.38/23,672.25
  6. Step 6: Final answer
    x = 110,026.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.