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Finding the Third Proportional to 11,890.13 and 16,615.97

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Solution

The third proportional to 11,890.13 and 16,615.97 is: 23,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.13 : 16,615.97 = 16,615.97 : x
  2. Step 2: Convert to fraction form
    11,890.13/16,615.97 = 16,615.97/x
  3. Step 3: Cross multiply
    11,890.13x = 16,615.97 × 16,615.97
  4. Step 4: Simplify right side
    11,890.13x = 276,090,417.50
  5. Step 5: Solve for x
    x = 276,090,417.50/11,890.13
  6. Step 6: Final answer
    x = 23,220.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.