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Finding the Third Proportional to 27,229.50 and 58,153.50

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Solution

The third proportional to 27,229.50 and 58,153.50 is: 124,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.50 : 58,153.50 = 58,153.50 : x
  2. Step 2: Convert to fraction form
    27,229.50/58,153.50 = 58,153.50/x
  3. Step 3: Cross multiply
    27,229.50x = 58,153.50 × 58,153.50
  4. Step 4: Simplify right side
    27,229.50x = 3,381,829,562.25
  5. Step 5: Solve for x
    x = 3,381,829,562.25/27,229.50
  6. Step 6: Final answer
    x = 124,197.27

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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.