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Finding the Third Proportional to 10,015.50 and 23,185

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Solution

The third proportional to 10,015.50 and 23,185 is: 53,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.50 : 23,185 = 23,185 : x
  2. Step 2: Convert to fraction form
    10,015.50/23,185 = 23,185/x
  3. Step 3: Cross multiply
    10,015.50x = 23,185 × 23,185
  4. Step 4: Simplify right side
    10,015.50x = 537,544,225
  5. Step 5: Solve for x
    x = 537,544,225/10,015.50
  6. Step 6: Final answer
    x = 53,671.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.