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Finding the Third Proportional to 40,527 and 61,150.50

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Solution

The third proportional to 40,527 and 61,150.50 is: 92,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,527 : 61,150.50 = 61,150.50 : x
  2. Step 2: Convert to fraction form
    40,527/61,150.50 = 61,150.50/x
  3. Step 3: Cross multiply
    40,527x = 61,150.50 × 61,150.50
  4. Step 4: Simplify right side
    40,527x = 3,739,383,650.25
  5. Step 5: Solve for x
    x = 3,739,383,650.25/40,527
  6. Step 6: Final answer
    x = 92,268.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.