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Finding the Third Proportional to 18,148.50 and 27,028.13

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Solution

The third proportional to 18,148.50 and 27,028.13 is: 40,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.50 : 27,028.13 = 27,028.13 : x
  2. Step 2: Convert to fraction form
    18,148.50/27,028.13 = 27,028.13/x
  3. Step 3: Cross multiply
    18,148.50x = 27,028.13 × 27,028.13
  4. Step 4: Simplify right side
    18,148.50x = 730,519,541.02
  5. Step 5: Solve for x
    x = 730,519,541.02/18,148.50
  6. Step 6: Final answer
    x = 40,252.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.