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Finding the Third Proportional to 13,299.50 and 27,206.50

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Solution

The third proportional to 13,299.50 and 27,206.50 is: 55,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.50 : 27,206.50 = 27,206.50 : x
  2. Step 2: Convert to fraction form
    13,299.50/27,206.50 = 27,206.50/x
  3. Step 3: Cross multiply
    13,299.50x = 27,206.50 × 27,206.50
  4. Step 4: Simplify right side
    13,299.50x = 740,193,642.25
  5. Step 5: Solve for x
    x = 740,193,642.25/13,299.50
  6. Step 6: Final answer
    x = 55,655.75

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1.5x scale

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.