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Finding the Third Proportional to 27,040 and 58,642

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Solution

The third proportional to 27,040 and 58,642 is: 127,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040 : 58,642 = 58,642 : x
  2. Step 2: Convert to fraction form
    27,040/58,642 = 58,642/x
  3. Step 3: Cross multiply
    27,040x = 58,642 × 58,642
  4. Step 4: Simplify right side
    27,040x = 3,438,884,164
  5. Step 5: Solve for x
    x = 3,438,884,164/27,040
  6. Step 6: Final answer
    x = 127,177.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.