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Finding the Third Proportional to 16,489.50 and 22,465.50

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Solution

The third proportional to 16,489.50 and 22,465.50 is: 30,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.50 : 22,465.50 = 22,465.50 : x
  2. Step 2: Convert to fraction form
    16,489.50/22,465.50 = 22,465.50/x
  3. Step 3: Cross multiply
    16,489.50x = 22,465.50 × 22,465.50
  4. Step 4: Simplify right side
    16,489.50x = 504,698,690.25
  5. Step 5: Solve for x
    x = 504,698,690.25/16,489.50
  6. Step 6: Final answer
    x = 30,607.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.