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Finding the Third Proportional to 16,056.75 and 24,692.25

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Solution

The third proportional to 16,056.75 and 24,692.25 is: 37,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056.75 : 24,692.25 = 24,692.25 : x
  2. Step 2: Convert to fraction form
    16,056.75/24,692.25 = 24,692.25/x
  3. Step 3: Cross multiply
    16,056.75x = 24,692.25 × 24,692.25
  4. Step 4: Simplify right side
    16,056.75x = 609,707,210.06
  5. Step 5: Solve for x
    x = 609,707,210.06/16,056.75
  6. Step 6: Final answer
    x = 37,972.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.