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Finding the Third Proportional to 19,980 and 27,052.50

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Solution

The third proportional to 19,980 and 27,052.50 is: 36,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 27,052.50 = 27,052.50 : x
  2. Step 2: Convert to fraction form
    19,980/27,052.50 = 27,052.50/x
  3. Step 3: Cross multiply
    19,980x = 27,052.50 × 27,052.50
  4. Step 4: Simplify right side
    19,980x = 731,837,756.25
  5. Step 5: Solve for x
    x = 731,837,756.25/19,980
  6. Step 6: Final answer
    x = 36,628.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.