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Finding the Third Proportional to 39,811 and 61,098.50

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Solution

The third proportional to 39,811 and 61,098.50 is: 93,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811 : 61,098.50 = 61,098.50 : x
  2. Step 2: Convert to fraction form
    39,811/61,098.50 = 61,098.50/x
  3. Step 3: Cross multiply
    39,811x = 61,098.50 × 61,098.50
  4. Step 4: Simplify right side
    39,811x = 3,733,026,702.25
  5. Step 5: Solve for x
    x = 3,733,026,702.25/39,811
  6. Step 6: Final answer
    x = 93,768.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.