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Finding the Third Proportional to 32,563.50 and 48,931.50

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Solution

The third proportional to 32,563.50 and 48,931.50 is: 73,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.50 : 48,931.50 = 48,931.50 : x
  2. Step 2: Convert to fraction form
    32,563.50/48,931.50 = 48,931.50/x
  3. Step 3: Cross multiply
    32,563.50x = 48,931.50 × 48,931.50
  4. Step 4: Simplify right side
    32,563.50x = 2,394,291,692.25
  5. Step 5: Solve for x
    x = 2,394,291,692.25/32,563.50
  6. Step 6: Final answer
    x = 73,526.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.