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Finding the Third Proportional to 16,138.50 and 24,931.50

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Solution

The third proportional to 16,138.50 and 24,931.50 is: 38,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.50 : 24,931.50 = 24,931.50 : x
  2. Step 2: Convert to fraction form
    16,138.50/24,931.50 = 24,931.50/x
  3. Step 3: Cross multiply
    16,138.50x = 24,931.50 × 24,931.50
  4. Step 4: Simplify right side
    16,138.50x = 621,579,692.25
  5. Step 5: Solve for x
    x = 621,579,692.25/16,138.50
  6. Step 6: Final answer
    x = 38,515.33

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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.