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Finding the Third Proportional to 13,861.13 and 16,291.13

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Solution

The third proportional to 13,861.13 and 16,291.13 is: 19,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.13 : 16,291.13 = 16,291.13 : x
  2. Step 2: Convert to fraction form
    13,861.13/16,291.13 = 16,291.13/x
  3. Step 3: Cross multiply
    13,861.13x = 16,291.13 × 16,291.13
  4. Step 4: Simplify right side
    13,861.13x = 265,400,753.77
  5. Step 5: Solve for x
    x = 265,400,753.77/13,861.13
  6. Step 6: Final answer
    x = 19,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.