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Finding the Third Proportional to 39,885 and 61,931.50

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Solution

The third proportional to 39,885 and 61,931.50 is: 96,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,885 : 61,931.50 = 61,931.50 : x
  2. Step 2: Convert to fraction form
    39,885/61,931.50 = 61,931.50/x
  3. Step 3: Cross multiply
    39,885x = 61,931.50 × 61,931.50
  4. Step 4: Simplify right side
    39,885x = 3,835,510,692.25
  5. Step 5: Solve for x
    x = 3,835,510,692.25/39,885
  6. Step 6: Final answer
    x = 96,164.24

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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.