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Finding the Third Proportional to 45,900.75 and 68,637

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Solution

The third proportional to 45,900.75 and 68,637 is: 102,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,900.75 : 68,637 = 68,637 : x
  2. Step 2: Convert to fraction form
    45,900.75/68,637 = 68,637/x
  3. Step 3: Cross multiply
    45,900.75x = 68,637 × 68,637
  4. Step 4: Simplify right side
    45,900.75x = 4,711,037,769
  5. Step 5: Solve for x
    x = 4,711,037,769/45,900.75
  6. Step 6: Final answer
    x = 102,635.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.