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Finding the Third Proportional to 30,733.50 and 46,383

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Solution

The third proportional to 30,733.50 and 46,383 is: 70,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.50 : 46,383 = 46,383 : x
  2. Step 2: Convert to fraction form
    30,733.50/46,383 = 46,383/x
  3. Step 3: Cross multiply
    30,733.50x = 46,383 × 46,383
  4. Step 4: Simplify right side
    30,733.50x = 2,151,382,689
  5. Step 5: Solve for x
    x = 2,151,382,689/30,733.50
  6. Step 6: Final answer
    x = 70,001.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.