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Finding the Third Proportional to 12,926.50 and 20,501.75

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Solution

The third proportional to 12,926.50 and 20,501.75 is: 32,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.50 : 20,501.75 = 20,501.75 : x
  2. Step 2: Convert to fraction form
    12,926.50/20,501.75 = 20,501.75/x
  3. Step 3: Cross multiply
    12,926.50x = 20,501.75 × 20,501.75
  4. Step 4: Simplify right side
    12,926.50x = 420,321,753.06
  5. Step 5: Solve for x
    x = 420,321,753.06/12,926.50
  6. Step 6: Final answer
    x = 32,516.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.