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Finding the Third Proportional to 20,839.88 and 45,506.63

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Solution

The third proportional to 20,839.88 and 45,506.63 is: 99,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.88 : 45,506.63 = 45,506.63 : x
  2. Step 2: Convert to fraction form
    20,839.88/45,506.63 = 45,506.63/x
  3. Step 3: Cross multiply
    20,839.88x = 45,506.63 × 45,506.63
  4. Step 4: Simplify right side
    20,839.88x = 2,070,852,918.89
  5. Step 5: Solve for x
    x = 2,070,852,918.89/20,839.88
  6. Step 6: Final answer
    x = 99,369.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.