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Finding the Third Proportional to 10,518 and 13,900.50

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Solution

The third proportional to 10,518 and 13,900.50 is: 18,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518 : 13,900.50 = 13,900.50 : x
  2. Step 2: Convert to fraction form
    10,518/13,900.50 = 13,900.50/x
  3. Step 3: Cross multiply
    10,518x = 13,900.50 × 13,900.50
  4. Step 4: Simplify right side
    10,518x = 193,223,900.25
  5. Step 5: Solve for x
    x = 193,223,900.25/10,518
  6. Step 6: Final answer
    x = 18,370.78

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.