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Finding the Third Proportional to 11,498.63 and 18,344.81

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Solution

The third proportional to 11,498.63 and 18,344.81 is: 29,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.63 : 18,344.81 = 18,344.81 : x
  2. Step 2: Convert to fraction form
    11,498.63/18,344.81 = 18,344.81/x
  3. Step 3: Cross multiply
    11,498.63x = 18,344.81 × 18,344.81
  4. Step 4: Simplify right side
    11,498.63x = 336,532,145.66
  5. Step 5: Solve for x
    x = 336,532,145.66/11,498.63
  6. Step 6: Final answer
    x = 29,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.