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Finding the Third Proportional to 41,399 and 65,599.50

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Solution

The third proportional to 41,399 and 65,599.50 is: 103,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,399 : 65,599.50 = 65,599.50 : x
  2. Step 2: Convert to fraction form
    41,399/65,599.50 = 65,599.50/x
  3. Step 3: Cross multiply
    41,399x = 65,599.50 × 65,599.50
  4. Step 4: Simplify right side
    41,399x = 4,303,294,400.25
  5. Step 5: Solve for x
    x = 4,303,294,400.25/41,399
  6. Step 6: Final answer
    x = 103,946.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.