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Finding the Third Proportional to 14,893.88 and 31,012.88

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Solution

The third proportional to 14,893.88 and 31,012.88 is: 64,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.88 : 31,012.88 = 31,012.88 : x
  2. Step 2: Convert to fraction form
    14,893.88/31,012.88 = 31,012.88/x
  3. Step 3: Cross multiply
    14,893.88x = 31,012.88 × 31,012.88
  4. Step 4: Simplify right side
    14,893.88x = 961,798,415.77
  5. Step 5: Solve for x
    x = 961,798,415.77/14,893.88
  6. Step 6: Final answer
    x = 64,576.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.