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Finding the Third Proportional to 42,220 and 56,838

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Solution

The third proportional to 42,220 and 56,838 is: 76,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,220 : 56,838 = 56,838 : x
  2. Step 2: Convert to fraction form
    42,220/56,838 = 56,838/x
  3. Step 3: Cross multiply
    42,220x = 56,838 × 56,838
  4. Step 4: Simplify right side
    42,220x = 3,230,558,244
  5. Step 5: Solve for x
    x = 3,230,558,244/42,220
  6. Step 6: Final answer
    x = 76,517.25

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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.