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Finding the Third Proportional to 14,166.14 and 30,933.14

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Solution

The third proportional to 14,166.14 and 30,933.14 is: 67,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.14 : 30,933.14 = 30,933.14 : x
  2. Step 2: Convert to fraction form
    14,166.14/30,933.14 = 30,933.14/x
  3. Step 3: Cross multiply
    14,166.14x = 30,933.14 × 30,933.14
  4. Step 4: Simplify right side
    14,166.14x = 956,859,188.93
  5. Step 5: Solve for x
    x = 956,859,188.93/14,166.14
  6. Step 6: Final answer
    x = 67,545.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.