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Finding the Third Proportional to 14,214.75 and 22,297.69

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Solution

The third proportional to 14,214.75 and 22,297.69 is: 34,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.75 : 22,297.69 = 22,297.69 : x
  2. Step 2: Convert to fraction form
    14,214.75/22,297.69 = 22,297.69/x
  3. Step 3: Cross multiply
    14,214.75x = 22,297.69 × 22,297.69
  4. Step 4: Simplify right side
    14,214.75x = 497,186,867.85
  5. Step 5: Solve for x
    x = 497,186,867.85/14,214.75
  6. Step 6: Final answer
    x = 34,976.83

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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.