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Finding the Third Proportional to 31,500.75 and 60,692.25

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Solution

The third proportional to 31,500.75 and 60,692.25 is: 116,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.75 : 60,692.25 = 60,692.25 : x
  2. Step 2: Convert to fraction form
    31,500.75/60,692.25 = 60,692.25/x
  3. Step 3: Cross multiply
    31,500.75x = 60,692.25 × 60,692.25
  4. Step 4: Simplify right side
    31,500.75x = 3,683,549,210.06
  5. Step 5: Solve for x
    x = 3,683,549,210.06/31,500.75
  6. Step 6: Final answer
    x = 116,935.29

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.