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Finding the Third Proportional to 43,546.12 and 63,638.71

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Solution

The third proportional to 43,546.12 and 63,638.71 is: 93,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546.12 : 63,638.71 = 63,638.71 : x
  2. Step 2: Convert to fraction form
    43,546.12/63,638.71 = 63,638.71/x
  3. Step 3: Cross multiply
    43,546.12x = 63,638.71 × 63,638.71
  4. Step 4: Simplify right side
    43,546.12x = 4,049,885,405.49
  5. Step 5: Solve for x
    x = 4,049,885,405.49/43,546.12
  6. Step 6: Final answer
    x = 93,002.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.