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Finding the Third Proportional to 44,300 and 67,845

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Solution

The third proportional to 44,300 and 67,845 is: 103,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,300 : 67,845 = 67,845 : x
  2. Step 2: Convert to fraction form
    44,300/67,845 = 67,845/x
  3. Step 3: Cross multiply
    44,300x = 67,845 × 67,845
  4. Step 4: Simplify right side
    44,300x = 4,602,944,025
  5. Step 5: Solve for x
    x = 4,602,944,025/44,300
  6. Step 6: Final answer
    x = 103,903.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.