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Finding the Third Proportional to 12,721.50 and 28,035

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Solution

The third proportional to 12,721.50 and 28,035 is: 61,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.50 : 28,035 = 28,035 : x
  2. Step 2: Convert to fraction form
    12,721.50/28,035 = 28,035/x
  3. Step 3: Cross multiply
    12,721.50x = 28,035 × 28,035
  4. Step 4: Simplify right side
    12,721.50x = 785,961,225
  5. Step 5: Solve for x
    x = 785,961,225/12,721.50
  6. Step 6: Final answer
    x = 61,782.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.