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Finding the Third Proportional to 27,084 and 59,232

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Solution

The third proportional to 27,084 and 59,232 is: 129,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084 : 59,232 = 59,232 : x
  2. Step 2: Convert to fraction form
    27,084/59,232 = 59,232/x
  3. Step 3: Cross multiply
    27,084x = 59,232 × 59,232
  4. Step 4: Simplify right side
    27,084x = 3,508,429,824
  5. Step 5: Solve for x
    x = 3,508,429,824/27,084
  6. Step 6: Final answer
    x = 129,538.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.