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Finding the Third Proportional to 43,142.63 and 66,956.63

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Solution

The third proportional to 43,142.63 and 66,956.63 is: 103,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142.63 : 66,956.63 = 66,956.63 : x
  2. Step 2: Convert to fraction form
    43,142.63/66,956.63 = 66,956.63/x
  3. Step 3: Cross multiply
    43,142.63x = 66,956.63 × 66,956.63
  4. Step 4: Simplify right side
    43,142.63x = 4,483,189,631.39
  5. Step 5: Solve for x
    x = 4,483,189,631.39/43,142.63
  6. Step 6: Final answer
    x = 103,915.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.