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Finding the Third Proportional to 48,862 and 73,409.50

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Solution

The third proportional to 48,862 and 73,409.50 is: 110,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,862 : 73,409.50 = 73,409.50 : x
  2. Step 2: Convert to fraction form
    48,862/73,409.50 = 73,409.50/x
  3. Step 3: Cross multiply
    48,862x = 73,409.50 × 73,409.50
  4. Step 4: Simplify right side
    48,862x = 5,388,954,690.25
  5. Step 5: Solve for x
    x = 5,388,954,690.25/48,862
  6. Step 6: Final answer
    x = 110,289.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.