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Finding the Third Proportional to 20,419.50 and 25,341

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Solution

The third proportional to 20,419.50 and 25,341 is: 31,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.50 : 25,341 = 25,341 : x
  2. Step 2: Convert to fraction form
    20,419.50/25,341 = 25,341/x
  3. Step 3: Cross multiply
    20,419.50x = 25,341 × 25,341
  4. Step 4: Simplify right side
    20,419.50x = 642,166,281
  5. Step 5: Solve for x
    x = 642,166,281/20,419.50
  6. Step 6: Final answer
    x = 31,448.68

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.