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Finding the Third Proportional to 30,301.50 and 41,382

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Solution

The third proportional to 30,301.50 and 41,382 is: 56,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.50 : 41,382 = 41,382 : x
  2. Step 2: Convert to fraction form
    30,301.50/41,382 = 41,382/x
  3. Step 3: Cross multiply
    30,301.50x = 41,382 × 41,382
  4. Step 4: Simplify right side
    30,301.50x = 1,712,469,924
  5. Step 5: Solve for x
    x = 1,712,469,924/30,301.50
  6. Step 6: Final answer
    x = 56,514.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.