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Finding the Third Proportional to 13,722 and 20,095.50

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Solution

The third proportional to 13,722 and 20,095.50 is: 29,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722 : 20,095.50 = 20,095.50 : x
  2. Step 2: Convert to fraction form
    13,722/20,095.50 = 20,095.50/x
  3. Step 3: Cross multiply
    13,722x = 20,095.50 × 20,095.50
  4. Step 4: Simplify right side
    13,722x = 403,829,120.25
  5. Step 5: Solve for x
    x = 403,829,120.25/13,722
  6. Step 6: Final answer
    x = 29,429.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.