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Finding the Third Proportional to 20,965.50 and 30,854.25

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Solution

The third proportional to 20,965.50 and 30,854.25 is: 45,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.50 : 30,854.25 = 30,854.25 : x
  2. Step 2: Convert to fraction form
    20,965.50/30,854.25 = 30,854.25/x
  3. Step 3: Cross multiply
    20,965.50x = 30,854.25 × 30,854.25
  4. Step 4: Simplify right side
    20,965.50x = 951,984,743.06
  5. Step 5: Solve for x
    x = 951,984,743.06/20,965.50
  6. Step 6: Final answer
    x = 45,407.20

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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.