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Finding the Third Proportional to 27,713 and 42,501

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Solution

The third proportional to 27,713 and 42,501 is: 65,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713 : 42,501 = 42,501 : x
  2. Step 2: Convert to fraction form
    27,713/42,501 = 42,501/x
  3. Step 3: Cross multiply
    27,713x = 42,501 × 42,501
  4. Step 4: Simplify right side
    27,713x = 1,806,335,001
  5. Step 5: Solve for x
    x = 1,806,335,001/27,713
  6. Step 6: Final answer
    x = 65,180.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.