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Finding the Third Proportional to 34,129 and 52,652

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Solution

The third proportional to 34,129 and 52,652 is: 81,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129 : 52,652 = 52,652 : x
  2. Step 2: Convert to fraction form
    34,129/52,652 = 52,652/x
  3. Step 3: Cross multiply
    34,129x = 52,652 × 52,652
  4. Step 4: Simplify right side
    34,129x = 2,772,233,104
  5. Step 5: Solve for x
    x = 2,772,233,104/34,129
  6. Step 6: Final answer
    x = 81,228.08

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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.