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Finding the Third Proportional to 11,995.50 and 17,985

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Solution

The third proportional to 11,995.50 and 17,985 is: 26,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.50 : 17,985 = 17,985 : x
  2. Step 2: Convert to fraction form
    11,995.50/17,985 = 17,985/x
  3. Step 3: Cross multiply
    11,995.50x = 17,985 × 17,985
  4. Step 4: Simplify right side
    11,995.50x = 323,460,225
  5. Step 5: Solve for x
    x = 323,460,225/11,995.50
  6. Step 6: Final answer
    x = 26,965.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.