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Finding the Third Proportional to 31,883.50 and 46,853

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Solution

The third proportional to 31,883.50 and 46,853 is: 68,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.50 : 46,853 = 46,853 : x
  2. Step 2: Convert to fraction form
    31,883.50/46,853 = 46,853/x
  3. Step 3: Cross multiply
    31,883.50x = 46,853 × 46,853
  4. Step 4: Simplify right side
    31,883.50x = 2,195,203,609
  5. Step 5: Solve for x
    x = 2,195,203,609/31,883.50
  6. Step 6: Final answer
    x = 68,850.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.