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Finding the Third Proportional to 10,728 and 23,098.50

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Solution

The third proportional to 10,728 and 23,098.50 is: 49,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 23,098.50 = 23,098.50 : x
  2. Step 2: Convert to fraction form
    10,728/23,098.50 = 23,098.50/x
  3. Step 3: Cross multiply
    10,728x = 23,098.50 × 23,098.50
  4. Step 4: Simplify right side
    10,728x = 533,540,702.25
  5. Step 5: Solve for x
    x = 533,540,702.25/10,728
  6. Step 6: Final answer
    x = 49,733.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.