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Finding the Third Proportional to 51,620.63 and 68,029.88

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Solution

The third proportional to 51,620.63 and 68,029.88 is: 89,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,620.63 : 68,029.88 = 68,029.88 : x
  2. Step 2: Convert to fraction form
    51,620.63/68,029.88 = 68,029.88/x
  3. Step 3: Cross multiply
    51,620.63x = 68,029.88 × 68,029.88
  4. Step 4: Simplify right side
    51,620.63x = 4,628,063,892.52
  5. Step 5: Solve for x
    x = 4,628,063,892.52/51,620.63
  6. Step 6: Final answer
    x = 89,655.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.