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Finding the Third Proportional to 21,288.50 and 43,185

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Solution

The third proportional to 21,288.50 and 43,185 is: 87,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.50 : 43,185 = 43,185 : x
  2. Step 2: Convert to fraction form
    21,288.50/43,185 = 43,185/x
  3. Step 3: Cross multiply
    21,288.50x = 43,185 × 43,185
  4. Step 4: Simplify right side
    21,288.50x = 1,864,944,225
  5. Step 5: Solve for x
    x = 1,864,944,225/21,288.50
  6. Step 6: Final answer
    x = 87,603.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.