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Finding the Third Proportional to 56,984.50 and 76,850

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Solution

The third proportional to 56,984.50 and 76,850 is: 103,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,984.50 : 76,850 = 76,850 : x
  2. Step 2: Convert to fraction form
    56,984.50/76,850 = 76,850/x
  3. Step 3: Cross multiply
    56,984.50x = 76,850 × 76,850
  4. Step 4: Simplify right side
    56,984.50x = 5,905,922,500
  5. Step 5: Solve for x
    x = 5,905,922,500/56,984.50
  6. Step 6: Final answer
    x = 103,640.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.