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Finding the Third Proportional to 19,153.50 and 25,326

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Solution

The third proportional to 19,153.50 and 25,326 is: 33,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,153.50 : 25,326 = 25,326 : x
  2. Step 2: Convert to fraction form
    19,153.50/25,326 = 25,326/x
  3. Step 3: Cross multiply
    19,153.50x = 25,326 × 25,326
  4. Step 4: Simplify right side
    19,153.50x = 641,406,276
  5. Step 5: Solve for x
    x = 641,406,276/19,153.50
  6. Step 6: Final answer
    x = 33,487.68

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Why These Related Problems?

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