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Finding the Third Proportional to 10,014.06 and 23,181.91

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Solution

The third proportional to 10,014.06 and 23,181.91 is: 53,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.06 : 23,181.91 = 23,181.91 : x
  2. Step 2: Convert to fraction form
    10,014.06/23,181.91 = 23,181.91/x
  3. Step 3: Cross multiply
    10,014.06x = 23,181.91 × 23,181.91
  4. Step 4: Simplify right side
    10,014.06x = 537,400,777.38
  5. Step 5: Solve for x
    x = 537,400,777.38/10,014.06
  6. Step 6: Final answer
    x = 53,664.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.