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Finding the Third Proportional to 41,742 and 64,644.75

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Solution

The third proportional to 41,742 and 64,644.75 is: 100,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 64,644.75 = 64,644.75 : x
  2. Step 2: Convert to fraction form
    41,742/64,644.75 = 64,644.75/x
  3. Step 3: Cross multiply
    41,742x = 64,644.75 × 64,644.75
  4. Step 4: Simplify right side
    41,742x = 4,178,943,702.56
  5. Step 5: Solve for x
    x = 4,178,943,702.56/41,742
  6. Step 6: Final answer
    x = 100,113.64

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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.