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Finding the Third Proportional to 21,928.50 and 34,016.25

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Solution

The third proportional to 21,928.50 and 34,016.25 is: 52,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.50 : 34,016.25 = 34,016.25 : x
  2. Step 2: Convert to fraction form
    21,928.50/34,016.25 = 34,016.25/x
  3. Step 3: Cross multiply
    21,928.50x = 34,016.25 × 34,016.25
  4. Step 4: Simplify right side
    21,928.50x = 1,157,105,264.06
  5. Step 5: Solve for x
    x = 1,157,105,264.06/21,928.50
  6. Step 6: Final answer
    x = 52,767.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.