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Finding the Third Proportional to 13,306.63 and 20,874.19

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Solution

The third proportional to 13,306.63 and 20,874.19 is: 32,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.63 : 20,874.19 = 20,874.19 : x
  2. Step 2: Convert to fraction form
    13,306.63/20,874.19 = 20,874.19/x
  3. Step 3: Cross multiply
    13,306.63x = 20,874.19 × 20,874.19
  4. Step 4: Simplify right side
    13,306.63x = 435,731,703.79
  5. Step 5: Solve for x
    x = 435,731,703.79/13,306.63
  6. Step 6: Final answer
    x = 32,745.47

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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.