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Finding the Third Proportional to 27,584 and 42,623

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Solution

The third proportional to 27,584 and 42,623 is: 65,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 42,623 = 42,623 : x
  2. Step 2: Convert to fraction form
    27,584/42,623 = 42,623/x
  3. Step 3: Cross multiply
    27,584x = 42,623 × 42,623
  4. Step 4: Simplify right side
    27,584x = 1,816,720,129
  5. Step 5: Solve for x
    x = 1,816,720,129/27,584
  6. Step 6: Final answer
    x = 65,861.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.