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Finding the Third Proportional to 27,352 and 58,592

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Solution

The third proportional to 27,352 and 58,592 is: 125,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352 : 58,592 = 58,592 : x
  2. Step 2: Convert to fraction form
    27,352/58,592 = 58,592/x
  3. Step 3: Cross multiply
    27,352x = 58,592 × 58,592
  4. Step 4: Simplify right side
    27,352x = 3,433,022,464
  5. Step 5: Solve for x
    x = 3,433,022,464/27,352
  6. Step 6: Final answer
    x = 125,512.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.