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Finding the Third Proportional to 41,661 and 64,323

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Solution

The third proportional to 41,661 and 64,323 is: 99,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,661 : 64,323 = 64,323 : x
  2. Step 2: Convert to fraction form
    41,661/64,323 = 64,323/x
  3. Step 3: Cross multiply
    41,661x = 64,323 × 64,323
  4. Step 4: Simplify right side
    41,661x = 4,137,448,329
  5. Step 5: Solve for x
    x = 4,137,448,329/41,661
  6. Step 6: Final answer
    x = 99,312.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.