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Finding the Third Proportional to 45,552.50 and 63,698

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Solution

The third proportional to 45,552.50 and 63,698 is: 89,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,552.50 : 63,698 = 63,698 : x
  2. Step 2: Convert to fraction form
    45,552.50/63,698 = 63,698/x
  3. Step 3: Cross multiply
    45,552.50x = 63,698 × 63,698
  4. Step 4: Simplify right side
    45,552.50x = 4,057,435,204
  5. Step 5: Solve for x
    x = 4,057,435,204/45,552.50
  6. Step 6: Final answer
    x = 89,071.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.