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Finding the Third Proportional to 53,408.25 and 83,028

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Solution

The third proportional to 53,408.25 and 83,028 is: 129,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408.25 : 83,028 = 83,028 : x
  2. Step 2: Convert to fraction form
    53,408.25/83,028 = 83,028/x
  3. Step 3: Cross multiply
    53,408.25x = 83,028 × 83,028
  4. Step 4: Simplify right side
    53,408.25x = 6,893,648,784
  5. Step 5: Solve for x
    x = 6,893,648,784/53,408.25
  6. Step 6: Final answer
    x = 129,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.