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Finding the Third Proportional to 31,608 and 46,243

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Solution

The third proportional to 31,608 and 46,243 is: 67,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608 : 46,243 = 46,243 : x
  2. Step 2: Convert to fraction form
    31,608/46,243 = 46,243/x
  3. Step 3: Cross multiply
    31,608x = 46,243 × 46,243
  4. Step 4: Simplify right side
    31,608x = 2,138,415,049
  5. Step 5: Solve for x
    x = 2,138,415,049/31,608
  6. Step 6: Final answer
    x = 67,654.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.