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Finding the Third Proportional to 53,037 and 62,104

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Solution

The third proportional to 53,037 and 62,104 is: 72,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,037 : 62,104 = 62,104 : x
  2. Step 2: Convert to fraction form
    53,037/62,104 = 62,104/x
  3. Step 3: Cross multiply
    53,037x = 62,104 × 62,104
  4. Step 4: Simplify right side
    53,037x = 3,856,906,816
  5. Step 5: Solve for x
    x = 3,856,906,816/53,037
  6. Step 6: Final answer
    x = 72,721.06

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.