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Finding the Third Proportional to 14,104.13 and 27,847.13

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Solution

The third proportional to 14,104.13 and 27,847.13 is: 54,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.13 : 27,847.13 = 27,847.13 : x
  2. Step 2: Convert to fraction form
    14,104.13/27,847.13 = 27,847.13/x
  3. Step 3: Cross multiply
    14,104.13x = 27,847.13 × 27,847.13
  4. Step 4: Simplify right side
    14,104.13x = 775,462,370.77
  5. Step 5: Solve for x
    x = 775,462,370.77/14,104.13
  6. Step 6: Final answer
    x = 54,981.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.