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Finding the Third Proportional to 10,487.25 and 20,966.63

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Solution

The third proportional to 10,487.25 and 20,966.63 is: 41,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.25 : 20,966.63 = 20,966.63 : x
  2. Step 2: Convert to fraction form
    10,487.25/20,966.63 = 20,966.63/x
  3. Step 3: Cross multiply
    10,487.25x = 20,966.63 × 20,966.63
  4. Step 4: Simplify right side
    10,487.25x = 439,599,363.89
  5. Step 5: Solve for x
    x = 439,599,363.89/10,487.25
  6. Step 6: Final answer
    x = 41,917.51

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.