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Finding the Third Proportional to 41,966.86 and 66,452.91

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Solution

The third proportional to 41,966.86 and 66,452.91 is: 105,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,966.86 : 66,452.91 = 66,452.91 : x
  2. Step 2: Convert to fraction form
    41,966.86/66,452.91 = 66,452.91/x
  3. Step 3: Cross multiply
    41,966.86x = 66,452.91 × 66,452.91
  4. Step 4: Simplify right side
    41,966.86x = 4,415,988,749.07
  5. Step 5: Solve for x
    x = 4,415,988,749.07/41,966.86
  6. Step 6: Final answer
    x = 105,225.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.