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Finding the Third Proportional to 12,727.50 and 18,536.25

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Solution

The third proportional to 12,727.50 and 18,536.25 is: 26,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.50 : 18,536.25 = 18,536.25 : x
  2. Step 2: Convert to fraction form
    12,727.50/18,536.25 = 18,536.25/x
  3. Step 3: Cross multiply
    12,727.50x = 18,536.25 × 18,536.25
  4. Step 4: Simplify right side
    12,727.50x = 343,592,564.06
  5. Step 5: Solve for x
    x = 343,592,564.06/12,727.50
  6. Step 6: Final answer
    x = 26,996.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.