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Finding the Third Proportional to 41,670 and 66,195.56

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Solution

The third proportional to 41,670 and 66,195.56 is: 105,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670 : 66,195.56 = 66,195.56 : x
  2. Step 2: Convert to fraction form
    41,670/66,195.56 = 66,195.56/x
  3. Step 3: Cross multiply
    41,670x = 66,195.56 × 66,195.56
  4. Step 4: Simplify right side
    41,670x = 4,381,852,494.69
  5. Step 5: Solve for x
    x = 4,381,852,494.69/41,670
  6. Step 6: Final answer
    x = 105,156.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.