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Finding the Third Proportional to 10,728 and 14,323.50

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Solution

The third proportional to 10,728 and 14,323.50 is: 19,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 14,323.50 = 14,323.50 : x
  2. Step 2: Convert to fraction form
    10,728/14,323.50 = 14,323.50/x
  3. Step 3: Cross multiply
    10,728x = 14,323.50 × 14,323.50
  4. Step 4: Simplify right side
    10,728x = 205,162,652.25
  5. Step 5: Solve for x
    x = 205,162,652.25/10,728
  6. Step 6: Final answer
    x = 19,124.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.