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Finding the Third Proportional to 45,380.25 and 66,657.94

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Solution

The third proportional to 45,380.25 and 66,657.94 is: 97,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.25 : 66,657.94 = 66,657.94 : x
  2. Step 2: Convert to fraction form
    45,380.25/66,657.94 = 66,657.94/x
  3. Step 3: Cross multiply
    45,380.25x = 66,657.94 × 66,657.94
  4. Step 4: Simplify right side
    45,380.25x = 4,443,280,631.75
  5. Step 5: Solve for x
    x = 4,443,280,631.75/45,380.25
  6. Step 6: Final answer
    x = 97,912.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.