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Finding the Third Proportional to 20,719.50 and 27,616.50

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Solution

The third proportional to 20,719.50 and 27,616.50 is: 36,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.50 : 27,616.50 = 27,616.50 : x
  2. Step 2: Convert to fraction form
    20,719.50/27,616.50 = 27,616.50/x
  3. Step 3: Cross multiply
    20,719.50x = 27,616.50 × 27,616.50
  4. Step 4: Simplify right side
    20,719.50x = 762,671,072.25
  5. Step 5: Solve for x
    x = 762,671,072.25/20,719.50
  6. Step 6: Final answer
    x = 36,809.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.