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Finding the Third Proportional to 10,085 and 20,921

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Solution

The third proportional to 10,085 and 20,921 is: 43,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085 : 20,921 = 20,921 : x
  2. Step 2: Convert to fraction form
    10,085/20,921 = 20,921/x
  3. Step 3: Cross multiply
    10,085x = 20,921 × 20,921
  4. Step 4: Simplify right side
    10,085x = 437,688,241
  5. Step 5: Solve for x
    x = 437,688,241/10,085
  6. Step 6: Final answer
    x = 43,399.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.