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Finding the Third Proportional to 18,164.25 and 27,307.13

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Solution

The third proportional to 18,164.25 and 27,307.13 is: 41,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.25 : 27,307.13 = 27,307.13 : x
  2. Step 2: Convert to fraction form
    18,164.25/27,307.13 = 27,307.13/x
  3. Step 3: Cross multiply
    18,164.25x = 27,307.13 × 27,307.13
  4. Step 4: Simplify right side
    18,164.25x = 745,679,075.77
  5. Step 5: Solve for x
    x = 745,679,075.77/18,164.25
  6. Step 6: Final answer
    x = 41,052.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.