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Finding the Third Proportional to 16,153.50 and 23,698.50

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Solution

The third proportional to 16,153.50 and 23,698.50 is: 34,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.50 : 23,698.50 = 23,698.50 : x
  2. Step 2: Convert to fraction form
    16,153.50/23,698.50 = 23,698.50/x
  3. Step 3: Cross multiply
    16,153.50x = 23,698.50 × 23,698.50
  4. Step 4: Simplify right side
    16,153.50x = 561,618,902.25
  5. Step 5: Solve for x
    x = 561,618,902.25/16,153.50
  6. Step 6: Final answer
    x = 34,767.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.