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Finding the Third Proportional to 20,433.75 and 27,459.75

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Solution

The third proportional to 20,433.75 and 27,459.75 is: 36,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.75 : 27,459.75 = 27,459.75 : x
  2. Step 2: Convert to fraction form
    20,433.75/27,459.75 = 27,459.75/x
  3. Step 3: Cross multiply
    20,433.75x = 27,459.75 × 27,459.75
  4. Step 4: Simplify right side
    20,433.75x = 754,037,870.06
  5. Step 5: Solve for x
    x = 754,037,870.06/20,433.75
  6. Step 6: Final answer
    x = 36,901.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.