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Finding the Third Proportional to 27,720 and 59,328

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Solution

The third proportional to 27,720 and 59,328 is: 126,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 59,328 = 59,328 : x
  2. Step 2: Convert to fraction form
    27,720/59,328 = 59,328/x
  3. Step 3: Cross multiply
    27,720x = 59,328 × 59,328
  4. Step 4: Simplify right side
    27,720x = 3,519,811,584
  5. Step 5: Solve for x
    x = 3,519,811,584/27,720
  6. Step 6: Final answer
    x = 126,977.33

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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.