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Finding the Third Proportional to 14,576.63 and 23,851.13

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Solution

The third proportional to 14,576.63 and 23,851.13 is: 39,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.63 : 23,851.13 = 23,851.13 : x
  2. Step 2: Convert to fraction form
    14,576.63/23,851.13 = 23,851.13/x
  3. Step 3: Cross multiply
    14,576.63x = 23,851.13 × 23,851.13
  4. Step 4: Simplify right side
    14,576.63x = 568,876,163.77
  5. Step 5: Solve for x
    x = 568,876,163.77/14,576.63
  6. Step 6: Final answer
    x = 39,026.60

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.