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Finding the Third Proportional to 27,992.50 and 59,143.50

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Solution

The third proportional to 27,992.50 and 59,143.50 is: 124,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.50 : 59,143.50 = 59,143.50 : x
  2. Step 2: Convert to fraction form
    27,992.50/59,143.50 = 59,143.50/x
  3. Step 3: Cross multiply
    27,992.50x = 59,143.50 × 59,143.50
  4. Step 4: Simplify right side
    27,992.50x = 3,497,953,592.25
  5. Step 5: Solve for x
    x = 3,497,953,592.25/27,992.50
  6. Step 6: Final answer
    x = 124,960.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.