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Finding the Third Proportional to 48,690.19 and 73,355.81

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Solution

The third proportional to 48,690.19 and 73,355.81 is: 110,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,690.19 : 73,355.81 = 73,355.81 : x
  2. Step 2: Convert to fraction form
    48,690.19/73,355.81 = 73,355.81/x
  3. Step 3: Cross multiply
    48,690.19x = 73,355.81 × 73,355.81
  4. Step 4: Simplify right side
    48,690.19x = 5,381,075,227.54
  5. Step 5: Solve for x
    x = 5,381,075,227.54/48,690.19
  6. Step 6: Final answer
    x = 110,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.