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Finding the Third Proportional to 41,658.75 and 64,523.63

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Solution

The third proportional to 41,658.75 and 64,523.63 is: 99,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.75 : 64,523.63 = 64,523.63 : x
  2. Step 2: Convert to fraction form
    41,658.75/64,523.63 = 64,523.63/x
  3. Step 3: Cross multiply
    41,658.75x = 64,523.63 × 64,523.63
  4. Step 4: Simplify right side
    41,658.75x = 4,163,298,183.14
  5. Step 5: Solve for x
    x = 4,163,298,183.14/41,658.75
  6. Step 6: Final answer
    x = 99,938.14

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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.