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Finding the Third Proportional to 41,392.50 and 64,078

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Solution

The third proportional to 41,392.50 and 64,078 is: 99,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,392.50 : 64,078 = 64,078 : x
  2. Step 2: Convert to fraction form
    41,392.50/64,078 = 64,078/x
  3. Step 3: Cross multiply
    41,392.50x = 64,078 × 64,078
  4. Step 4: Simplify right side
    41,392.50x = 4,105,990,084
  5. Step 5: Solve for x
    x = 4,105,990,084/41,392.50
  6. Step 6: Final answer
    x = 99,196.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.