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Finding the Third Proportional to 41,513.63 and 85,980.94

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Solution

The third proportional to 41,513.63 and 85,980.94 is: 178,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513.63 : 85,980.94 = 85,980.94 : x
  2. Step 2: Convert to fraction form
    41,513.63/85,980.94 = 85,980.94/x
  3. Step 3: Cross multiply
    41,513.63x = 85,980.94 × 85,980.94
  4. Step 4: Simplify right side
    41,513.63x = 7,392,721,613.38
  5. Step 5: Solve for x
    x = 7,392,721,613.38/41,513.63
  6. Step 6: Final answer
    x = 178,079.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.