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Finding the Third Proportional to 20,661.50 and 42,412

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Solution

The third proportional to 20,661.50 and 42,412 is: 87,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.50 : 42,412 = 42,412 : x
  2. Step 2: Convert to fraction form
    20,661.50/42,412 = 42,412/x
  3. Step 3: Cross multiply
    20,661.50x = 42,412 × 42,412
  4. Step 4: Simplify right side
    20,661.50x = 1,798,777,744
  5. Step 5: Solve for x
    x = 1,798,777,744/20,661.50
  6. Step 6: Final answer
    x = 87,059.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.