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Finding the Third Proportional to 31,164.75 and 46,593.35

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Solution

The third proportional to 31,164.75 and 46,593.35 is: 69,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 46,593.35 = 46,593.35 : x
  2. Step 2: Convert to fraction form
    31,164.75/46,593.35 = 46,593.35/x
  3. Step 3: Cross multiply
    31,164.75x = 46,593.35 × 46,593.35
  4. Step 4: Simplify right side
    31,164.75x = 2,170,940,409.83
  5. Step 5: Solve for x
    x = 2,170,940,409.83/31,164.75
  6. Step 6: Final answer
    x = 69,660.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.