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Finding the Third Proportional to 44,135.75 and 56,669.25

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Solution

The third proportional to 44,135.75 and 56,669.25 is: 72,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,135.75 : 56,669.25 = 56,669.25 : x
  2. Step 2: Convert to fraction form
    44,135.75/56,669.25 = 56,669.25/x
  3. Step 3: Cross multiply
    44,135.75x = 56,669.25 × 56,669.25
  4. Step 4: Simplify right side
    44,135.75x = 3,211,403,895.56
  5. Step 5: Solve for x
    x = 3,211,403,895.56/44,135.75
  6. Step 6: Final answer
    x = 72,761.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.