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Finding the Third Proportional to 48,297 and 73,880

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Solution

The third proportional to 48,297 and 73,880 is: 113,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,297 : 73,880 = 73,880 : x
  2. Step 2: Convert to fraction form
    48,297/73,880 = 73,880/x
  3. Step 3: Cross multiply
    48,297x = 73,880 × 73,880
  4. Step 4: Simplify right side
    48,297x = 5,458,254,400
  5. Step 5: Solve for x
    x = 5,458,254,400/48,297
  6. Step 6: Final answer
    x = 113,014.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.