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Finding the Third Proportional to 43,497.84 and 66,158.02

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Solution

The third proportional to 43,497.84 and 66,158.02 is: 100,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,497.84 : 66,158.02 = 66,158.02 : x
  2. Step 2: Convert to fraction form
    43,497.84/66,158.02 = 66,158.02/x
  3. Step 3: Cross multiply
    43,497.84x = 66,158.02 × 66,158.02
  4. Step 4: Simplify right side
    43,497.84x = 4,376,883,031.44
  5. Step 5: Solve for x
    x = 4,376,883,031.44/43,497.84
  6. Step 6: Final answer
    x = 100,622.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.