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Finding the Third Proportional to 12,071.50 and 25,592

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Solution

The third proportional to 12,071.50 and 25,592 is: 54,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.50 : 25,592 = 25,592 : x
  2. Step 2: Convert to fraction form
    12,071.50/25,592 = 25,592/x
  3. Step 3: Cross multiply
    12,071.50x = 25,592 × 25,592
  4. Step 4: Simplify right side
    12,071.50x = 654,950,464
  5. Step 5: Solve for x
    x = 654,950,464/12,071.50
  6. Step 6: Final answer
    x = 54,255.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.