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Finding the Third Proportional to 12,576.09 and 26,649.84

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Solution

The third proportional to 12,576.09 and 26,649.84 is: 56,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.09 : 26,649.84 = 26,649.84 : x
  2. Step 2: Convert to fraction form
    12,576.09/26,649.84 = 26,649.84/x
  3. Step 3: Cross multiply
    12,576.09x = 26,649.84 × 26,649.84
  4. Step 4: Simplify right side
    12,576.09x = 710,214,171.90
  5. Step 5: Solve for x
    x = 710,214,171.90/12,576.09
  6. Step 6: Final answer
    x = 56,473.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.