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Finding the Third Proportional to 34,652 and 73,438

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Solution

The third proportional to 34,652 and 73,438 is: 155,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652 : 73,438 = 73,438 : x
  2. Step 2: Convert to fraction form
    34,652/73,438 = 73,438/x
  3. Step 3: Cross multiply
    34,652x = 73,438 × 73,438
  4. Step 4: Simplify right side
    34,652x = 5,393,139,844
  5. Step 5: Solve for x
    x = 5,393,139,844/34,652
  6. Step 6: Final answer
    x = 155,637.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.