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Finding the Third Proportional to 8,420 and 13,209.50

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Solution

The third proportional to 8,420 and 13,209.50 is: 20,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 13,209.50 = 13,209.50 : x
  2. Step 2: Convert to fraction form
    8,420/13,209.50 = 13,209.50/x
  3. Step 3: Cross multiply
    8,420x = 13,209.50 × 13,209.50
  4. Step 4: Simplify right side
    8,420x = 174,490,890.25
  5. Step 5: Solve for x
    x = 174,490,890.25/8,420
  6. Step 6: Final answer
    x = 20,723.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.