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Finding the Third Proportional to 51,973.31 and 68,245.88

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Solution

The third proportional to 51,973.31 and 68,245.88 is: 89,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973.31 : 68,245.88 = 68,245.88 : x
  2. Step 2: Convert to fraction form
    51,973.31/68,245.88 = 68,245.88/x
  3. Step 3: Cross multiply
    51,973.31x = 68,245.88 × 68,245.88
  4. Step 4: Simplify right side
    51,973.31x = 4,657,499,454.52
  5. Step 5: Solve for x
    x = 4,657,499,454.52/51,973.31
  6. Step 6: Final answer
    x = 89,613.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.