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Finding the Third Proportional to 27,710.16 and 57,391.03

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Solution

The third proportional to 27,710.16 and 57,391.03 is: 118,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.16 : 57,391.03 = 57,391.03 : x
  2. Step 2: Convert to fraction form
    27,710.16/57,391.03 = 57,391.03/x
  3. Step 3: Cross multiply
    27,710.16x = 57,391.03 × 57,391.03
  4. Step 4: Simplify right side
    27,710.16x = 3,293,730,467.94
  5. Step 5: Solve for x
    x = 3,293,730,467.94/27,710.16
  6. Step 6: Final answer
    x = 118,863.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.