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Finding the Third Proportional to 10,407.23 and 22,889.46

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Solution

The third proportional to 10,407.23 and 22,889.46 is: 50,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.23 : 22,889.46 = 22,889.46 : x
  2. Step 2: Convert to fraction form
    10,407.23/22,889.46 = 22,889.46/x
  3. Step 3: Cross multiply
    10,407.23x = 22,889.46 × 22,889.46
  4. Step 4: Simplify right side
    10,407.23x = 523,927,422.01
  5. Step 5: Solve for x
    x = 523,927,422.01/10,407.23
  6. Step 6: Final answer
    x = 50,342.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.