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Finding the Third Proportional to 12,727.69 and 18,710.30

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Solution

The third proportional to 12,727.69 and 18,710.30 is: 27,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.69 : 18,710.30 = 18,710.30 : x
  2. Step 2: Convert to fraction form
    12,727.69/18,710.30 = 18,710.30/x
  3. Step 3: Cross multiply
    12,727.69x = 18,710.30 × 18,710.30
  4. Step 4: Simplify right side
    12,727.69x = 350,075,209.15
  5. Step 5: Solve for x
    x = 350,075,209.15/12,727.69
  6. Step 6: Final answer
    x = 27,505.01

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