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Finding the Third Proportional to 56,538 and 74,755.41

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Solution

The third proportional to 56,538 and 74,755.41 is: 98,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538 : 74,755.41 = 74,755.41 : x
  2. Step 2: Convert to fraction form
    56,538/74,755.41 = 74,755.41/x
  3. Step 3: Cross multiply
    56,538x = 74,755.41 × 74,755.41
  4. Step 4: Simplify right side
    56,538x = 5,588,370,763.60
  5. Step 5: Solve for x
    x = 5,588,370,763.60/56,538
  6. Step 6: Final answer
    x = 98,842.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.