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Finding the Third Proportional to 27,890 and 40,323

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Solution

The third proportional to 27,890 and 40,323 is: 58,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890 : 40,323 = 40,323 : x
  2. Step 2: Convert to fraction form
    27,890/40,323 = 40,323/x
  3. Step 3: Cross multiply
    27,890x = 40,323 × 40,323
  4. Step 4: Simplify right side
    27,890x = 1,625,944,329
  5. Step 5: Solve for x
    x = 1,625,944,329/27,890
  6. Step 6: Final answer
    x = 58,298.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.