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Finding the Third Proportional to 9,542.50 and 20,673.50

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Solution

The third proportional to 9,542.50 and 20,673.50 is: 44,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.50 : 20,673.50 = 20,673.50 : x
  2. Step 2: Convert to fraction form
    9,542.50/20,673.50 = 20,673.50/x
  3. Step 3: Cross multiply
    9,542.50x = 20,673.50 × 20,673.50
  4. Step 4: Simplify right side
    9,542.50x = 427,393,602.25
  5. Step 5: Solve for x
    x = 427,393,602.25/9,542.50
  6. Step 6: Final answer
    x = 44,788.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.