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Finding the Third Proportional to 48,485.81 and 74,508.19

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Solution

The third proportional to 48,485.81 and 74,508.19 is: 114,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,485.81 : 74,508.19 = 74,508.19 : x
  2. Step 2: Convert to fraction form
    48,485.81/74,508.19 = 74,508.19/x
  3. Step 3: Cross multiply
    48,485.81x = 74,508.19 × 74,508.19
  4. Step 4: Simplify right side
    48,485.81x = 5,551,470,004.54
  5. Step 5: Solve for x
    x = 5,551,470,004.54/48,485.81
  6. Step 6: Final answer
    x = 114,496.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.