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Finding the Third Proportional to 20,941.88 and 45,164.25

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Solution

The third proportional to 20,941.88 and 45,164.25 is: 97,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.88 : 45,164.25 = 45,164.25 : x
  2. Step 2: Convert to fraction form
    20,941.88/45,164.25 = 45,164.25/x
  3. Step 3: Cross multiply
    20,941.88x = 45,164.25 × 45,164.25
  4. Step 4: Simplify right side
    20,941.88x = 2,039,809,478.06
  5. Step 5: Solve for x
    x = 2,039,809,478.06/20,941.88
  6. Step 6: Final answer
    x = 97,403.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.