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Finding the Third Proportional to 10,916.44 and 23,576.06

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Solution

The third proportional to 10,916.44 and 23,576.06 is: 50,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.44 : 23,576.06 = 23,576.06 : x
  2. Step 2: Convert to fraction form
    10,916.44/23,576.06 = 23,576.06/x
  3. Step 3: Cross multiply
    10,916.44x = 23,576.06 × 23,576.06
  4. Step 4: Simplify right side
    10,916.44x = 555,830,723.00
  5. Step 5: Solve for x
    x = 555,830,723.00/10,916.44
  6. Step 6: Final answer
    x = 50,916.86

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Why These Related Problems?

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