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Finding the Third Proportional to 18,841.50 and 27,739.13

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Solution

The third proportional to 18,841.50 and 27,739.13 is: 40,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,841.50 : 27,739.13 = 27,739.13 : x
  2. Step 2: Convert to fraction form
    18,841.50/27,739.13 = 27,739.13/x
  3. Step 3: Cross multiply
    18,841.50x = 27,739.13 × 27,739.13
  4. Step 4: Simplify right side
    18,841.50x = 769,459,055.77
  5. Step 5: Solve for x
    x = 769,459,055.77/18,841.50
  6. Step 6: Final answer
    x = 40,838.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.