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Finding the Third Proportional to 13,242 and 14,626.50

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Solution

The third proportional to 13,242 and 14,626.50 is: 16,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242 : 14,626.50 = 14,626.50 : x
  2. Step 2: Convert to fraction form
    13,242/14,626.50 = 14,626.50/x
  3. Step 3: Cross multiply
    13,242x = 14,626.50 × 14,626.50
  4. Step 4: Simplify right side
    13,242x = 213,934,502.25
  5. Step 5: Solve for x
    x = 213,934,502.25/13,242
  6. Step 6: Final answer
    x = 16,155.75

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.