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Finding the Third Proportional to 48,091.22 and 74,648.46

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Solution

The third proportional to 48,091.22 and 74,648.46 is: 115,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,091.22 : 74,648.46 = 74,648.46 : x
  2. Step 2: Convert to fraction form
    48,091.22/74,648.46 = 74,648.46/x
  3. Step 3: Cross multiply
    48,091.22x = 74,648.46 × 74,648.46
  4. Step 4: Simplify right side
    48,091.22x = 5,572,392,720.34
  5. Step 5: Solve for x
    x = 5,572,392,720.34/48,091.22
  6. Step 6: Final answer
    x = 115,871.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.