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Finding the Third Proportional to 51,539.63 and 75,461.63

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Solution

The third proportional to 51,539.63 and 75,461.63 is: 110,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,539.63 : 75,461.63 = 75,461.63 : x
  2. Step 2: Convert to fraction form
    51,539.63/75,461.63 = 75,461.63/x
  3. Step 3: Cross multiply
    51,539.63x = 75,461.63 × 75,461.63
  4. Step 4: Simplify right side
    51,539.63x = 5,694,456,847.64
  5. Step 5: Solve for x
    x = 5,694,456,847.64/51,539.63
  6. Step 6: Final answer
    x = 110,486.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.