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Finding the Third Proportional to 27,588 and 40,214

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Solution

The third proportional to 27,588 and 40,214 is: 58,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 40,214 = 40,214 : x
  2. Step 2: Convert to fraction form
    27,588/40,214 = 40,214/x
  3. Step 3: Cross multiply
    27,588x = 40,214 × 40,214
  4. Step 4: Simplify right side
    27,588x = 1,617,165,796
  5. Step 5: Solve for x
    x = 1,617,165,796/27,588
  6. Step 6: Final answer
    x = 58,618.45

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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.