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Finding the Third Proportional to 12,214.13 and 16,296.19

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Solution

The third proportional to 12,214.13 and 16,296.19 is: 21,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.13 : 16,296.19 = 16,296.19 : x
  2. Step 2: Convert to fraction form
    12,214.13/16,296.19 = 16,296.19/x
  3. Step 3: Cross multiply
    12,214.13x = 16,296.19 × 16,296.19
  4. Step 4: Simplify right side
    12,214.13x = 265,565,727.04
  5. Step 5: Solve for x
    x = 265,565,727.04/12,214.13
  6. Step 6: Final answer
    x = 21,742.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.